sin 30o sin 45o+ tan 45o sec 60o− sin 60o sin 45o− sin 30o sin 90o.2, 1 Evaluate the following : (iii) "cos 45°" /"sec 30° + cosec 30°" We know that, "cos 45°" = 1/√2 "sec 30°" = 1/ (cos⁡〖30°〗 ) = 1/ (√3/2) = 𝟐/√𝟑 "cosec 30°" = 1/sin⁡〖30°〗 = 1/ (1/2) = 2/1 = 2 Hence, 𝒄𝒐𝒔⁡〖𝟒𝟓°〗/ (𝒔𝒆𝒄⁡〖𝟑𝟎°〗+ 𝒄𝒐𝒔𝒆𝒄 𝟑𝟎°) = (1/√2)/ ( (2/√3 + 2/1) ) = 𝟏/√𝟐 × 𝟏/ ( (𝟐/√𝟑 + 𝟐/𝟏) ) = 1/√2×1/ ( (2 × 1 + 2 × √3)/ (√3 × 1)) = 1/√2× What is Cos 30° Value? The value of cos 30 degrees in decimals is 0. And we're done! We've shown that sin ( θ) = cos ( 90 ∘ − θ) . Evaluate: cos 45 0 (sec 30 0 + cosec 30 0) Open in App. cos 3°… cos 89° cos 90° is.) Assertion: The value of cosec 30°+cot45°is 3.) tnardauQ tsriF( °09 dna °0 neewteb seil °06 elgna eht ,seerged 06 ces roF :noitanalpxE . Note: Since, cosecant is an odd function, the value of cosec (-60°) = -cosec (60°). Evaluate sin 90 ∘ cos 45 ∘ + 1 cos e c 30 ∘ Range of Trigonometric Ratios from 0 to 90 Degrees. 2 2 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.5k points) trigonometry Without using mathematical tables, find the value of x, if 2 cos e c 2 30 0 + x sin 2 60 0 − 3 4 tan 2 30 0 = 10. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle. cosec (-1410°) Solution: We know that values of cosec x repeat after an interval of 2π or 360° So we get.52359 . The trigonometric identities hold true only for the right-angle triangle.0 - 11.))°03(²toc + 1(√/1 sa nettirw eb nac °03 nis ,seititnedi girt gnisu noitcnuf tnegnatoc eht fo smret ni noitcnuf enis eht tneserper nac eW ?°03 toC fo smreT ni seergeD 03 niS fo eulaV eht si tahW . Cosec 30° in radians What is the value of cosec 30? Flexi Says: The cosecant of an angle is defined as the reciprocal of the sine of that angle. We know, using radian to degree conversion, θ in degrees = θ in radians × (180°/pi) You know that there are six trigonometric functions among which sin, cos and tan are the primary functions and sec, cosec and cot are secondary. Note: Since, cosecant is an odd function, the value of cosec (-45°) = -cosec (45°). 1) Which of the following is the correct value of cot 10 0 . So, csc ( 30 ∘) = 1 sin ( 30 ∘) The sine of 30 degrees is 0. . Standard X Mathematics. View Solution. Sec 120 degrees can also be expressed using the equivalent of the given angle (120 degrees) in radians (2. cosec 2 θ = 1 + (5/12) 2. Textbook Solutions 33591. Today, the most common versions of these abbreviations are "sin" for sine, "cos" for cosine, "tan" or "tg" for tangent, "sec" for secant, "csc" or "cosec" for cosecant, and "cot" or "ctg" for cotangent. The value of cos θ in terms of cosec θ is written as, Cos θ = ± [√(cosec 2 θ – 1)/cosec θ] Therefore, the value of cos 30 in terms of cot 30 can be written as: Answer: Cosec 30 degrees has a value of 2. We know that, tan 45° = 1. Step 2. Para calcular la cosecante de 30 grados podemos colocar nuestra calculadora en degrees y buscar 1/sen (30), lo cual nos dará la solución a este problema. We know that, Sin 30° = BD/AB = a/2a = 1 / 2. Password OTP. Bentuk Eksak: Bentuk Desimal: Cookie & Privasi. tan 45o cosec 30o+ sec 60o cot 45o− in 90 o 0o. Publicidad. Question 4: What is the value of cos 30° in terms of cosec 30°? Answer: Any trigonometric function can be represented in terms of another trigonometric function. Question. View Solution. Related Videos. In trigonometry, you may have learned about three main primary functions, such as sine, cosine and tangent along with them the other three trigonometric functions, such as secant, cotangent and cosecant. Ex 8. Range of Trigonometric Ratios from 0 to 90 Degrees.e. 2sec30 o + 2cos60o. Class 10 MATHS TRIGONOMETRIC RATIOS AND IDENTITIES.cot 80 0? 2) If a sin 45 0 = b cosec 30 0, what is the value of a 4 /b 4? 3) If tan θ + cot θ = 2, then what is the value of tan 100 θ + cot 100 θ? 4) If the value of α + β = 90 0, and α : β = 2 : 1, then what is the ratio of cos Range of Trigonometric Ratios from 0 to 90 Degrees. 1. So, @$ \csc(30^{\circ}) = \frac{1}{\sin(30^{\circ})} @$ The sine of 30 degrees is 0. Question Evaluate cos 45 ° ( s e c 30 ° + cos e c 30 °) Solution Step 1 Recall the values of required angles from the trigonometry values table So C os 45 ° = 1 2 S e c 30 ° = 2 3 C os e c 30 ° = 2 Step 2 Put values in the given expression and simplify by taking LCM Solution Finding the value of cosec 30 ° geometrically Let us consider an equilateral triangle ABC, whose all sides are equal to 2 a respectively. Each angle of (Delta) ABC is of 60 degrees. Conventionally, an abbreviation of each trigonometric function's name is used as its symbol in formulas. 8. The important trigonometric angles are 0, 30, 45, 60, 90, 180, 270 and 360. . 15∘D. Trigonometry Table is a standard table used to find the values of trigonometric ratios for standard angles such as 0°, 30°, 45°, 60°, and 90°. b.0 - 11. Hence, we get -sin Evaluate each of the following. The trigonometric angle values table helps in finding the values of different trigonometric standard angles such as 0°, 30°, 45°, 60°, and 90° for all the trigonometric ratios. Guides Solution. CBSE Chapter 8 additional Q13 - Trigonometric Ratios of Specific Values. The cosecant formula is given by the length of the hypotenuse divided by the length of the opposite side in a right triangle. Evaluate tan 2 60 ∘ + 4 cos 2 45 ∘ + 3 sec 2 30 ∘ + 5 cos 2 90 ∘ c o s e c 30 ∘ + sec 60 ∘ − cot 2 30 ∘ Learn how to find the values of cosecant, cosecant of 30° and other standard angles using the trigonometry table. tan 45 ° cosec 30 ° + sec 60 ° cot 45 ° - 5 sin 90 ° 2 cos 0 °. 10∘B. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.) is a product of Drug International Ltd. 3. What is the Value of Sin 30 Degrees in Terms of Cot 30°? We can represent the sine function in terms of the cotangent function using trig identities, sin 30° can be written as 1/√(1 + cot²(30°)).0), Microsoft Edge, Mozilla Firefox (30. Therefore, the value of 2sec300 + 2cos600is equal to4 + √3 3. Example 1: Find Cosec X if Sin x = 4/7.. Important Solutions 5478. Trigonometry.°2 soc . Computing trigonometric ratios for specific values such as sine cosine and cosecant. 1/tan x = cot x. If cosec θ + cot θ = q, … Tentukan Nilai yang Tepat cos(30 derajat ) Step 1. Join BYJU'S Learning Program.lanoitroporp era shtgnel edis gnidnopserroc rieht os ,ralimis era yeht ,selgna etuca lauqe evah selgnairt thgir owt fi :yrtemonogirt fo sisaB … fo eulaV noitcnuf yrtemonogirt rehto dna ceSA ,cesoCA ,toCA ,naTA ,soCA ,niSA ,HceS ,HcesoC ,HtoC ,HnaT ,HsoC ,HniS ,ceS ,cesoC ,toC ,naT ,soC ,niS fo eulav etaluclaC … eht eb DA teL . Get free RD Sharma Solutions for Class 10 Maths Chapter 10 Trigonometric Ratios solved by experts. Since secant function is positive in the first quadrant, thus sec 15° value = √6 - √2 or 1. We've already learned the basic trig ratios: sin ( A) = a c cos ( A) = b c tan ( A) = a b A C B b a c. The value is 2, and it can be calculated by using unit circle or trigonometric formulas. csc (x) = 1/sen (x) csc (30) = 1/sen (30) = 2. Textbook Solutions 33591. . STEPS TO CREATE A TRIGONOMETRY TABLE.). ‍. . Solution) The given information is, 2 sec 30o + 2 cos 60o.000. Evaluate each of the following tan 2 60 ° + 4 cos 2 45 ° + 3 sec 2 30 ° + 5 cos 2 90 ° cosec 30 ° + sec 60 ° - cot 2 30 ° Join Teachoo Black. While calculating these values, the angles that we take are 0°. Solution: sin 390° = sin(4 × 90° + 30°) = -sin 30° = -1/2 = -0. After that, you can start your calculations. Learn how to convert cosec 30 degrees to degrees and radians using the degree to radian conversion formula and the cosecant formula. Solve.0352761. And among these the major angles happens to be 0°, 30°, 60°, 90° and 180°. Q3. Since the secant function is a periodic function, we can represent sec 30° as, sec 30 degrees = sec (30° + n × 360°), n ∈ Z. Since secant function is positive in the first quadrant, thus sec 60° value = 2. Watch in App. We know that the value of sec 30o = 2 √3 and the value of cos 60o= 1 2. 4. Nilai eksak dari adalah . −cosec(4×360o −30o) cosec30o =2. Trigonometric table comprises trigonometric ratios - sine, cosine, tangent, cosecant, secant, cotangent. Well, technically we've only shown this for angles between 0 ∘ and 90 ∘ .00 which further denotes that the csc of 30° will be 2. Exercise 8. .1. The table shows the values of cosecant, … Cosec 30 degrees is the value of cosecant trigonometric function for an angle of 30 degrees. - brainly. Tentukan Nilai yang Tepat cos(30 derajat ) Step 1.0), Google Chrome (30. Here, you will find the value of sec 30 degrees along with the other secant degree values. Submit. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths.5235…. To determine the values of sin, divide 0, 1, 2 Incredible! Both functions, sin ( θ) and cos ( 90 ∘ − θ) , give the exact same side ratio in a right triangle.com Doubtnut is No. csc 30 = 2 sin 30 = 1/2 csc 30 = 1/sin 30 = 1:(1/2) = 2. By further calculation. What is value of sin 18 Let θ = 18° 5θ = 5 × 18° = 90° 2θ + 3θ = 90° 2θ = 90° - 3θ sin 2θ = sin (90° - 3θ) sin 2θ = cos 3θ 2 sin θ cos θ = 4 cos3 θ - 3 cos θ 2 sin θ cos θ - 4 cos3 θ + 3 cos θ = 0 cos θ (2 sin θ - 4 cos2 θ + 3) = 0 2 sin θ - 4 cos2 θ + 3 = 0 2 sin θ - 4 (1 - sin2. Range of Trigonometric Ratios from 0 to 90 Degrees. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. cot 0° = cos 0°/sin 0° = 1/0 = undefined. Thus, the cosecant of angle α in a right triangle is equal to the length of the hypotenuse c divided by the opposite side a . Learn how cosecant, secant, and cotangent are the reciprocals of the basic trig ratios: sine, cosine, and tangent. (therefore) AD is the bisector of (angle) A and D is the mid-point … What is the Value of Cosec 30 Degrees ? Read More » Cosec 30 degrees has a value of 2, which is the radian equivalent of the given angle (30 degrees) (0. Time Tables 14. Explore more. Learn how to find the value of cos 30 degrees using trigonometric functions, unit circle, and identities.8660254037 in fraction form and pi/6 in decimal form. Reason: cosec 30°=2, cot 45°=1.. Evaluate each of the following.0), Microsoft Edge, Mozilla Firefox (30. Click here:point_up_2:to get an answer to your question :writing_hand:evaluatedfraccos 45 circ sec 30 circ textcosec30 circ Trigonometry MCQ. Evaluate the following Hence we have, cot θ = 5/12. That means sin-1 or inverse sine is the angle θ for which sinθ is a particular value. To calculate cosecant online of π 6 π 6, enter cosec ( π 6 π 6), after How to find the values? To learn the table, we should first know how sin cos tan are related We know that tan θ = sin θ/cosθ sec θ = 1/cos θ cosec θ = 1/sin θ cot θ = 1/cot θ Now let us discuss different values For sin For memorising sin 0°, sin 30°, sin 45°, sin 60° and sin 90° We should learn it like sin 0° = 0 sin 30° = 1/2 sin 45° = 1/√2 Solution : The value of cosec 30 degrees is 2. Since cosecant function is positive in the first quadrant, thus cosec 45° value = √2 or 1. Find the value of cosec 1410°. . Step by step video, text & image solution for tan 30^(@), sin 30^(@) cot 60^(@) "cosec" 30^(@) का मान होगा- by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.5.cot 60 0 . The value of cosec 30 is 2, which is the sine of 30 degrees. (9. These new ratios are the reciprocal trig ratios, and we're about to learn their names. Evaluate: sin 30 ∘ + tan 45 ∘ − cosec 60 ∘ sec 30 Evaluate : (3 tan2 30 + tan2 60 + cosec 30 - tan 45)/ cot2 45. The value of Sec 30 degrees is equal to 2/√3. Sin 30° = 1 / 2. Since secant function is negative in the θ = 30 ,150 ,210 ,330 So, solving equations involving cosec, sec and cot can often be solved by simply turning them into equations involving the more familiar functions sin, cos and tan.) assertion is true but the reason is false. Similar Questions.5. Standard VII Mathematics.0 - 59. tan2 60o+4cos2 45o+3sec2 30o+5 cos2 90o cosec 30o+sec60o−cot2 30o. Cosec 30 degrees is the value of cosecant trigonometric function for an angle of 30 degrees. 1. Click here:point_up_2:to get an answer to your question :writing_hand:displaystyle fractan 45circtextcosec 30circfracsec 60circcot 45circfrac5 sin 90circ2cos 0circ. Let's look into the trigonometric table as shown below. sin 30° = sin (30 + 360n)°, where n is an integer. Bentuk Eksak: Bentuk Desimal: Cookie & Privasi. Question.Learn how to find the values of cosecant, cosecant of 30° and other standard angles using the trigonometry table. Proof : Consider an equilateral triangle ABC with each side of length of 2a. Since the secant function is a periodic function, we can represent sec 15° as, sec 15 degrees = sec (15° + n × 360°), n ∈ Z. . Proof : Consider an equilateral triangle ABC with each side of length of 2a. Solution. The value of sine or cosecant relies on the value of sine in a way that when sine achieves its maximum value of 1 then cosecant arrives at its minimum value of 1 For sec 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). Question.0 - 59. The values of sine, cosine, tangent, and cotangent can be found using the trigonometric unit circle, which is an excellent source of information about the trigonometric functions. Reason: cosec 30°=2, cot 45°=1. Important Solutions 5478. 2 2. Nilai eksak dari adalah . MCQ Online Mock Tests 19. Both \ [30 {}^\circ \] and \ [60 {}^\circ \] are based on an equilateral triangle with sides of Say the angle of a right angle triangle is at 30 degrees, so the value of the cosine at this particular angle is the division of 0. In other words, the sine of an angle equals the cosine of its complement. 30 degrees = 30 degrees (π /180 degrees) rad = 6 or 0. Therefore the ratio of cos 30 is especially important and is used in many places as the reference inclination. 三角関数の公式は数が多く大変なので、まとめて抑えるにあたってなるべくシンプルな導出について取り扱っていくシリーズです。#5では「加法定理の図形的理解」について取り扱いました。 #6ではや、以外の三角関数の、、について取り扱います。主に下記を参考にします。 三角関数 - Wikipedia Range of Trigonometric Ratios from 0 to 90 Degrees.

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It consists of all six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent. Evaluate each of the following. Cosec 30 degrees may alternatively be stated as the radian equivalent of the given angle (30 degrees) (0. √ 2. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo. Guides. . cosec 3π/2 = -1.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion. Cosecant is one of the six trigonometric ratios which is also denoted as cosec or csc. Syllabus. Evaluate : 3 tan 2 30 ∘ + tan 2 60 ∘ + cosec 30 ∘ − tan 45 ∘ cot 2 45 ∘ We know that, cosec 30° = 2 sin 60° = √3/2 tan 30° = 1/√3 Now, our equation is 2 cosec^2⁡30+𝑥sin^2⁡60−3/4 tan^2⁡30=10 Putting values 2 × 〖 (𝟐)〗^𝟐 + 𝒙 × (√𝟑/𝟐)^𝟐− 𝟑/𝟒 × (𝟏/√𝟑)^𝟐 = 10 8 + 3/4 𝑥 − 1/4 = 10 Multiplying by 4 on both sides 32 + 3𝒙 – 1 = 40 3𝑥 = 40 – 31 In Trigonometry, different types of problems can be solved using trigonometry formulas. b) Sec 60° = 2. cosec π - undefined. Situs web ini menggunakan cookie untuk memastikan Anda mendapatkan pengalaman terbaik di situs web kami. To represent sec 60°, we can utilise trigonometric identities like,-sec(180° - 60°) = -sec 120°-sec(180° + 60°) = -sec 240° cosec(90° + 60°) = cosec 150° cosec(90° - 60°) = cosec 30° Solved (iii) cos 45°/(sec 30° + cosec 30°) (iv) (sin 30° + tan 45° - cosec 60°) /(sec 30° + cos 60° + cot 45°) (v) (5cos² 60° + 4sec² 30° - tan² 45°)/(sin² 30° + cos² 30°) Solution: We will use the six basic trigonometric ratios and trigonometric table to solve the problem. For cosec 60 degrees, the angle 60° lies between 0° and 90° (First Quadrant ). sin 30o sin 45o+ tan 45o sec 60o− sin 60o sin 45o− sin 30o sin 90o. Trigonometry. Question 4: Find sin 390°. Step 1: Draw a table with the top row listing the angles such as 0°, 30°, 45°, 60°, 90°, and write all trigonometric functions in the first column such as sin, cos, tan, cosec, sec, cot. Recommended screen resolution: 1366 x 768 and above. 2 2.Tech from Indian Institute of Technology, Kanpur. cosec 30 o + cot 45 o in simplest form is. Sec 30.866 and its value, as a fraction, is √3/2. ± cosec 60°/√(cosec²(60°) - 1) 1/cos 60° Note: The ultimate value of sec 60° will be positive because 60° is in the first quadrant. Question 4: Find sin 390°. View Solution. Evaluate : 3 tan 2 30 ∘ + tan 2 60 ∘ + cosec 30 ∘ − tan 45 ∘ cot 2 45 ∘ 1/cos x = sec x. Learn how to find cosec 30 degrees with examples and FAQs on cosec 30 degrees. Since secant function is positive in the first quadrant, thus sec 30° value = 2/√3 or 1. Class 10 MATHS QUESTION BANK. csc (−θ) = - csc θ . The Greeks focused on the calculation of chords, while mathematicians in India created the earliest The cosecant formula is: csc (α) = hypotenuse opposite = c a. Similar Questions. .e. Step 2: Determine the value of sin.cot 20 0 . Question. = 1 + 2. The value of cos 0°. Cosec CosecOnCloud CosecServer Cloud CosecResponsive CosecAngular CosecBootstrap Password Davneet Singh has done his B. csc () function.. These ratios, in short, are written as sin, cos, tan, cosec, sec, and cot. Cosecant is the ratio of the hypotenuse (in a right-angled triangle) to the side opposite an acute angle; the reciprocal of sine.0 - 53. tan 45o cosec 30o+ sec 60o cot 45o− in 90 o 0o. ⇒ sec 60° = sec 420° = sec 780 Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. Hence, we get -sin The value of cosec 30° is equal to 2. Evaluate each of the following. To find the ratio of csc, simply enter the length of the hypotenuse and opposite side, then simplify. Question Papers 991. View Solution. cos 1°. See the formulas, tricks and steps to create a trigonometry table. Each angle of (Delta) ABC is of 60 degrees. Since cosecant function is Click here 👆 to get an answer to your question ️ Trigonometry Special Right Triangles Find the exact value of sec 60* - cosec 30* - sin 0*. Otras funciones son la secante, cotangente, que representan la inversa del coseno y de la tangente respectivamente. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. These are some other values which sine 30 can be written as: sin 30° = sin (150 + 360n)°, where n is an integer. To standardize all the terms, try to convert all the values that are in the form of tan, cosec, cot into sin and cos value. tan θ = 1/cot θ. Cos θ = Adjacent Side / Hypotenuse Side Step by step video, text & image solution for Evaluate : (cos 45^(@))/(sec30^(@)+"cosec "30^(@)) by Maths experts to help you in doubts & scoring excellent marks in Class 10 exams. Solve Hence, -cosec 30° is obtained. The value of cosec 210 degrees is -2.5k points) trigonometry Without using mathematical tables, find the value of x, if 2 cos e c 2 30 0 + x sin 2 60 0 − 3 4 tan 2 30 0 = 10. Class 10 Maths MCQs Chapter 8 Introduction to Trigonometry. It is observed that the triangle ABD is a right triangle, right angled at D with ∠ BAD = 30 ° and ∠ ABD = 60 °. Cosec 210 degrees can also be expressed using the equivalent of the given angle (210 degrees) in radians (3. Evaluate: cos 45 0 (sec 30 0 + cosec 30 0) Open in App. Cosec CosecOnCloud CosecServer Cloud CosecResponsive CosecAngular CosecBootstrap Password Cosec 30 is equal to 2. If sec 5A = cosec (A - 30∘) and 5A is acute angle then find the value of A in degrees. Now let's substitute the values of the following, = 2 × 2 √3 + 2 × 1 2.cot 70 0 . Cos belongs to the major family of trigonometry, namely sine, cosec and tangent. cosec(−1410o) = −cosec1410o. Find the value of sec 60° geometrically Solution: Question 75. The derivation of cos 30° is given below. Learn how to find the value of cosec 30 using a simple formula and a trigonometric identity. 7.গ্রা. cosec 2 θ = 1 + 25/144. Verified by Toppr. . . = 3. 3. . Solve. 1. Let AD be the perpendicular from A on BC. (9. Concept Notes & Videos 213. Let's try out some examples using the above table.312 soediV & setoN tpecnoC . Time Tables 14. Solve. a. Download Solution PDF. Standard X. The table shows the values of cosecant, cosecant of 30° and other standard angles in degrees and radians. b. SSC GD Coaching SSC CHSL Coaching. . cosec θ = 13/12. Question. Question: Is -sin 30° the same as sin (-30)°? Solution: Yes, sin (-30)° is in the 4th quadrant.5 . Explanation Here, even a coefficient of 90° is present, so sin remains as it is and it's coming to be in the fourth quadrant where only sec and cos are positive and the rest all are negative. We also will discuss Cosec θ, Sec θ and Cot θ. According to the given information, x = tan 45° + cosec 30°.0 - 53. Thus, from the table we observe that, a) Cosec 60°= 2√3/√3 or 2/√3. Solution. He has been teaching from the past 13 years. Video solution by Maxtute Cosec CosecOnCloud CosecServer Cloud CosecResponsive CosecAngular CosecBootstrap. You can calculate value of csc () trignometric function easily using this tool. Mathematics. There are total 4 exercises in the NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry which are great source of inculcating correct learning habits among students. Medicine. ⇒ 210 degrees = 210° × (π/180°) rad = 7π/6 or 3. See examples, formulas, … What is the value of cosec 30? Flexi Says: The cosecant of an angle is defined as the reciprocal of the sine of that angle. Guides. cosec 30° = 2.1547005. Sometimes abbreviated as arccosec or cosec^-1. Join BYJU'S Learning Program.2 of Class 10 Maths covers concepts like trigonometric ratios of some specific angles of a right angle triangle like trigonometric ratios of 0°, 45° and 90° with the help of right angle triangle. Syllabus. We get = tan 60 o = √3. Since the cosecant function is a periodic function, we can represent cosec 90° as, cosec 90 degrees = cosec (90° + n × 360°), n ∈ Z. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate each of the Taking A = 45°, B = 30° Solution: Question 36. Solve by using values of trigonometric function: cos 45 0 (sec 30 0 + cosec 30 0) = 1 Evaluate each of the following: cosec^3 30°cos 60° tan^3 45° sin^2 90° sec^2 45° cot 30° asked Jun 14, 2021 in Trigonometry by Gavya ( 33. Hasilnya dapat ditampilkan dalam beberapa bentuk.66519 . ⇒ cosec 90° = cosec 450° = cosec 810°, and so on. Q 5., cosec ( 180 + x ) = - cosec x. cosec 2 θ = 169/144. Prove that: (sec θ + tan θ)² = cosec θ +1/cosec θ -1 Solution: Question 38. See the solution, similar questions and more trigonometric ratios on Byju's Maths Q&A. The primary ones are Sin θ, Cos θ, and Tan θ. 1. c.yrtemonogirT … . Hasilnya dapat ditampilkan dalam beberapa bentuk. Evaluate Cos 45/Sec30+Cosec30 | Evaluate Cos 45 Degrees by Sec30 Degree + Cosec 30 DegreeQ: Evaluate cos 45° /sec 30° + cosec 30° Do Subscribe for quality an CBSE Exam, class 10. 1) Which of the following is the correct value of cot 10 0 . . So, @$ \csc(30^{\circ}) = \frac{1}{\sin(30^{\circ})} @$ … The cosecant calculator allows through the cosec function to calculate online the cosecant cosecant of an angle in radians, you must first select the desired unit by clicking on the … Solution : The value of cosec 30 degrees is 2.1547005. 2sin2 30o −3cos2 45o +tan2 60o. Some formulas including the sign of ratios in different quadrants, involving co-function identities (shifting angles), sum & difference … For sec 30 degrees, the angle 30° lies between 0° and 90° (First Quadrant ). Generics (Allopathic) Omeprazole IV infusion should be given as an intravenous infusion over a period of 20-30 minutes or more. MCQ Online Mock Tests 19. This formula might look very similar to the formula to Using trigonometry identity, we have 1 + cot 2 x = csc 2 x. Solve by using values of trigonometric function: cos 45 0 (sec 30 0 + cosec 30 0) = 1 Evaluate each of the following: cosec^3 30°cos 60° tan^3 45° sin^2 90° sec^2 45° cot 30° asked Jun 14, 2021 in Trigonometry by Gavya ( 33. Since secant function is positive in the first quadrant, thus sec 30° value = 2/√3 or 1. Cosec pi/6 can also be expressed using the equivalent of the given angle (pi/6) in degrees (30°). Situs web ini menggunakan cookie untuk memastikan Anda mendapatkan pengalaman terbaik di situs web kami. For sec 120 degrees, the angle 120° lies between 90° and 180° (Second Quadrant ).5312414. View Solution. Show that the value of s i n 45 Sin 30° = opposite side/hypotenuse side. A C B a c sin ( A) = opposite hypotenuse = a c csc ( A) = hypotenuse opposite = c a The secant ( sec) What is the value of cosec 30? Flexi Says: The cosecant of an angle is defined as the reciprocal of the sine of that angle. Step by step video, text & image solution for Evaluate The following : (cos 45^@)/(sec 30^@+cosec 30^@) by Maths experts to help you in doubts & scoring excellent marks in Class 10 exams. cos(30o) = 3-√ 2 c o s ( 30 o) = 3 2. If sec 5A = cosec (A - 30∘) and A is an acute angle, then find the value of A in degrees. Hence, it is true. ⇒ cosec 45° = cosec 405° = cosec 765°, and so on. MATHEMATICS. 30°, 45°, 60°, and 90°. If you feel confused and have no idea about the value of sin 30°, cos 90°, tan 45° and cosec 0° then you are on the right track.01 ssalC muideM hsilgnE ESBC )°03 cesoc + °03 ces(/)°54 soc( : gniwollof eht etaulavE ces = °093 ces = °03 ces ⇒ . The graph of cosecθ We study the graph of cosecθ by first studying the graph of the closely related function sinθ, Evaluate each of the following: tan^2 60° + 4 cos^2 45° + 3 sec^2 30° + 5 cos^2 90°/cosec 30° + sec 60° - cot^2 30° asked Jun 14, 2021 in Trigonometry by Gavya ( 33. BD = BC/2 = a. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate each of the Find the value of cosec 30° geometrically. Similar Questions. Trigonometry Find the Exact Value csc (30 degrees ) csc(30°) csc ( 30 °) The exact value of csc(30°) csc ( 30 °) is 2 2. Exercise 8. Note: Since, cosecant is an odd function, the value of The value of sec 120 degrees is -2. Cosec CosecOnCloud CosecServer Cloud CosecResponsive CosecAngular CosecBootstrap. If xsin45∘cos260∘ = tan260∘cosec30∘ sec45∘co 30∘. JTET Coaching NDA Coaching Delhi Police Constable Coaching. If cosec A + cot A = m, show that m²-1/ m² + 1= cos A. . The angles for six trigonometric functions like sine, cosine, tangent Google Classroom. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to.73205.8660254037 The value of sec 30 will be the exact reciprocal of the value of cos 30. sin-1 (1/2) = 30. Find value of csc(30) or Cosec(30) - Cosecant or Calculate value of Sin, Cos, Tan, Cot, Cosec, Sec, SinH, CosH, TanH, CotH, CosecH, SecH, ASin, ACos, ATan, ACot 2.

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Trigonometric Table. If x and y are complementary angles, then. 2. See examples, formulas, and FAQs on cos 30 degrees. Evaluate : s i n 30 ∘ + t a n 45 ∘ − c o s e c 60 ∘ s e c 30 ∘ + c o s 60 ∘ + c o t 45 ∘ Cosec pi/6 in degrees: csc (30°) What is the Value of Cosec pi/6? The value of csc pi/6 is 2. √ 3. These problems may include trigonometric ratios (sin, cos, tan, sec, cosec and cot), Pythagorean identities, product identities, etc. ⇒ cosec 60° = cosec 420° = cosec 780°, and so on. 2 2. In ∆ ABD and ACD, ∠ ADB = ∠ ADC = 90 ° AB = AC (equal sides of an equilateral triangle) AD = AD (common side) Therefore, by RHS congruency, ∆ ABD ≅ ACD Notation. Prove that: (cosec θ - sin θ). cosec π/3 = 2√3/3. . Hence, the required value is 2. . Click here:point_up_2:to get an answer to Evaluate: cos 45 0 (sec 30 0 + cosec 30 0) View More.0 equals 30 degrees. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Now substitute A = 0°. Q 1. Here, the value of cot 30° is equal to 1. Class 12 MATHS TRIGONOMETRIC FUNCTIONS. So, cosecant formula in terms of cotangent is csc x = ± √ (1 + cot 2 x). You can also find exercisewise NCERT Solutions for Chapter 8 Class 10 Maths by clicking on the links given below. a. . Using the formula we have, cosec 2 θ = 1 + cot 2 θ.0). Recommended screen resolution: 1366 x 768 and above. View Solution.)°081/ip( seerged ni θ slauqE snaidar ni θ taht wonk ew ,noisrevnoc naidar ot eerged eht gnisU . cos θ = 1/sec θ. Find the Exact Value csc (30 degrees ) csc(30°) csc ( 30 °) The exact value of csc(30°) csc ( 30 °) is 2 2. Click here:point_up_2:to get an answer to Hence, -cosec 30° is obtained.5 . Since cosecant function is positive in the first quadrant, thus cosec 60° value = 2/√3 or 1. Find the value of sec 45° geometrically Solution: Short Answer Type Questions II [3 Marks] Question 76. Evaluate the following: cos⁡〖45^∘ 〗/(sec⁡30^∘+cosec⁡30^∘ ) Extra question for class 10 maths Trigonometry. Example - 1 : Find Cosec2 30° Sin2 - 45° - Sec2 60°.). For cosec 210 degrees, the angle 210° lies between 180° and 270° (Third Quadrant ).5235987 . Its graph includes duration of the length of 2π and has vertical asymptotes. 4.5 So, csc ( 30 ∘) = 2 Discuss further with Flexi Ask your own question! Want to learn more? Go to Lesson Page csc(30) csc ( 30) The exact value of csc(30) csc ( 30) is 2 2. cosec 2π - undefined. The cosecant function is symmetrical around the x-axis is an odd function, i. Step 2. The cosecant ( csc) The cosecant is the reciprocal of the sine.c .09439 .0943 .). Use app Login. Therefore, Sin 30 degree equals to the fractional value of 1/ 2. Solve that : 5 c o s 2 60 + 4 s e c 2 30 − t a n 2 45 s i n 2 30 + c o s 2 30 Finding the cosecant of the 30-degree angle, we see the hypotenuse is 2 and the side opposite the 30-degree angle is 1, so we get: csc 30 = 2/1 = 2 The cosecant of the 60-degree angle is: cosec π/6 = 2. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. The standard angles of the trigonometric ratios are 0°, 30°, 45°, 60°, 90°. Q 1. The cosecant calculator allows through the cosec function to calculate online the cosecant cosecant of an angle in radians, you must first select the desired unit by clicking on the options button calculation module.8660254. In the same way, we can derive other values of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°. Equal Angles Subtend Equal Sides. The value of cos 30 degrees is 0. Evaluate: sin 30∘ +tan 45∘ −cosec 60∘ sec 30∘ +cos 60∘ +cot 45∘. Question. Value of cosec 210° is -2. Trigonometry Special Right Triangles Find the exact value of sec 60* - cosec 30* - sin 0*.i. Given : x sin 45° = y cosec 30° Formula used : sin 45° = 1/√ 2 cosec 30° = 2 Calculation : x sin 45° = y cosec 30&de.0).8660254037. Since the secant function is a periodic function, we can represent sec 30° as, sec 30 degrees = sec (30° + n × 360°), n ∈ Z.8 xE . The value of cos θ in terms of cosec θ is written as, Cos θ = ± [√(cosec 2 θ - 1)/cosec θ] Therefore, the value of cos 30 in terms of cot 30 can be written as: The value of cosec 30° is equal to 2.1547005. Evaluate each of the following. . To find the trigonometric ratios, we need to know the lengths of the sides of the triangle.cot 80 0? 2) If a sin 45 0 = b cosec 30 0, what is the value of a 4 /b 4? 3) If tan θ + cot θ = 2, then what is the value of tan 100 θ + cot 100 θ? 4) If the value of α + β = 90 0, and α : β = 2 : 1, then what is the ratio of cos Range of Trigonometric Ratios from 0 to 90 Degrees. sin 30° = 1/ cosec 30° sin 30° = 1/sec 60° Example problems.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion. Evaluate each of the following. c) Cot 60 Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step. Therefore, sin 30 value is 1/2.0), Google Chrome (30. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. In the fraction format, the value of cos (30°) is equal to 0.2, 1 Evaluate the following : "sin 30° + tan 45° - cosec 60°" /"sec 30° + cos 60° + cot 45°" We know that, sin "30°" = 1/2 tan "45°" = 1 cosec 𝟔"0°" = 1/sin⁡〖60°〗 = 2/√3 sec "30°" = 1/cos⁡〖30°〗 = 2/√3 cos "60°" = 1/2 cot "45. Step-by-step explanation: Given: cosec 210° To find: value of cosec 210° Here we use supplementary angle of trigonometric ratio . . How to Derive the Value of Cos 30 Degrees? Learn how to find the value of cos 30 degrees using the Pythagorean theorem, the right triangle property and the circular system.8660254. . Trigonometric identities are the equalities involving trigonometric functions and hold true for every value of the variables involved, in a manner that both sides of the equality are defined.cot 20 0 . 9. As per the given question, we have trigonometric ratios of 30, 45, and 60 degrees. . Solution : According to T ratio table the cosec, sin and sec degree values are. cosec π/4 = √2. If sec(4A) = cosec(A−20°), where 4A is an acute angle, then what is the value of A? tan 45 ° cosec 30 ° + sec 60 ° cot 45 °-5 sin 90 ° 2 cos 0 ° Q.) assertion is true but the reason is false. Here, the … Evaluate each of the following. The value of cos 30 degrees is 0. 20∘. If xsin45∘cos260∘ = tan260∘cosec30∘ sec45∘co 30∘. (i) sin 60° cos30° + sin 30° cos 60° Trigonometry. Evaluate each of the following. Answer : (i) cos 65°/sin 25° + cos 32°/sin 58° - sin 28° sec 62° + cosec 2 30° Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. = 4 √3 + 1. Learn the exact value of cosecant of 30 degrees in trigonometry, written as csc (30°) or cosec (30°) in sexagesimal and circular systems.6651 . (sec θ - cos θ) =1/tan θ+cot θ Solution: Question 77. The contents of one vial must be dissolved in 100 ml saline for Range of Trigonometric Ratios from 0 to 90 Degrees. Some important identities in trigonometry are given as, sin θ = 1/cosec θ. Some formulas including the sign of ratios in different quadrants, involving co-function identities (shifting angles), sum & difference identities, double angle identities For sec 30 degrees, the angle 30° lies between 0° and 90° (First Quadrant ). Find the value of cosec 1410°. Find out how to prove cosecant of 30 degrees is equal to 2 in three methods and see some examples of cosecant values. Solution: We know that values of tan x repeat after an interval of π or 180° So we get. Its generic name is Omeprazole. Solution: Question 37. But there are three more ratios to think about: Instead of a c. Solution: Question 74. 2sin2 30o −3cos2 45o +tan2 60o. Evaluate : 3 tan 2 30 ∘ + tan 2 60 ∘ + cosec 30 ∘ − tan 45 ∘ cot 2 45 ∘ We know that, cosec 30° = 2 sin 60° = √3/2 tan 30° = 1/√3 Now, our equation is 2 cosec^2⁡30+𝑥sin^2⁡60−3/4 tan^2⁡30=10 Putting values 2 × 〖 (𝟐)〗^𝟐 + 𝒙 × (√𝟑/𝟐)^𝟐− 𝟑/𝟒 × (𝟏/√𝟑)^𝟐 = 10 8 + 3/4 𝑥 − 1/4 = 10 Multiplying by 4 on both sides 32 + 3𝒙 - 1 = 40 3𝑥 = 40 - 31 In Trigonometry, different types of problems can be solved using trigonometry formulas. For example, sin30 = 1/2. Available here are Chapter 10 - Trigonometric Ratios Exercises Questions with Solutions and detail explanation for your practice before the examination Click here:point_up_2:to get an answer to your question :writing_hand:dfrac sin 30 circ tan 45 circ. The term “trigonometry” deals with the study of the measurements of right-angled triangles with parameters such as length, height and angles of the triangle. Arccosec 2 is equal to 30 which further denote: an angle with a cosecant of 2. By further calculation = cosec 30 o = 2. . cosec π/2 = 1.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc Evaluate: sin 30 ∘ + tan 45 ∘ − cosec 60 ∘ cot 45 ∘ + cos 60 ∘ − sec 30 ∘. Similar Questions. . ⇒ sec 30° = sec 390° = sec Evaluate the following : (cos 45°)/(sec 30° + cosec 30°) CBSE English Medium Class 10. A trigonometric table is a table that lists the values of the trigonometric functions for various standard angles such as 0°, 30°, 45°, 60°, and 90°. This is an online free csc calculator. If 5 A =cosec A 30 o , then the value of A isA. Evaluate: sin 30∘ +tan 45∘ −cosec 60∘ sec 30∘ +cos 60∘ +cot 45∘. Click here:point_up_2:to get an answer to your question :writing_hand:evaluatedfraccos 45 circ sec 30 circ textcosec30 circ Trigonometry MCQ. View Solution.) Assertion: The value of cosec 30°+cot45°is 3. 2 2 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. ⇒ sec 15° = sec 375 Join Teachoo Black. cot A = cos A/sin A. Question Papers 991.6k points) trigonometry For cosec 45 degrees, the angle 45° lies between 0° and 90° (First Quadrant ). tan2 60o+4cos2 45o+3sec2 30o+5 cos2 90o cosec 30o+sec60o−cot2 30o. To find the value of cos 60 °, it becomes. The value is 2, and it can be calculated by using unit circle or trigonometric … sin-1, cos-1 & tan-1 are the inverse, NOT the reciprocal. Password OTP. Cosecant is the reciprocal of Sin, Cosec x = \(\begin{array}{l}\frac{1}{SinX}\end{array} \) Examples of Cosecant x Formula. These problems may include trigonometric ratios (sin, cos, tan, sec, cosec and cot), Pythagorean identities, product identities, etc. Question. Therefore, csc ( 30 ∘) = 1 0. The problem given is generally in multiple fractions, try to join it and make a single fraction and start solving it. 2. Evaluate the following View Solution. Evaluate each of the following. So, let us assume that AB = 2a.cot 70 0 . negative because 180 + x lies in 3rd quadrant where cosec & sin function have negative value. Learn how to find the value of cos 30 degrees using trigonometric functions, unit circle, and identities. Q. Thus cosec 90° value = 1. Explanation Here, even a coefficient of 90° is present, so sin remains as it is and it’s coming to be in the fourth quadrant where only sec and cos are positive and the rest all are negative. Learn about the trigonometry table in detail in this article. Submit. Cosec where the angle is greater than 90 Degrees.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion. Let us draw a perpendicular AD that meets BC at D. Question 4: What is the value of cos 30° in terms of cosec 30°? Answer: Any trigonometric function can be represented in terms of another trigonometric function. For cosec 90 degrees, the angle 90° lies on the positive y-axis. 30∘C. Solution: In a triangle, according to the Pythagorean theorem, the sum of squares of the length of two adjacent sides is equal to the square of the length of the opposite side. . Properties of Triangle. Solution: sin 390° = sin(4 × 90° + 30°) = -sin 30° = -1/2 = -0. Find the Exact Value csc (30) csc(30) csc ( 30) The exact value of csc(30) csc ( 30) is 2 2. . In mathematics, the trigonometric functions (also called circular … Cos 30-degree value is √3/2. Join / Login. Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape, GeeksforGeeks Courses are your key to success. View Solution. Free math problem solver answers your algebra, … The value of cos 30 degrees is 0. ⇒ cosec 210° = coesc ( 180° + 30 °) Cosec Capsule 20 mg (কোসেক ২০ মি. Since the secant function is a periodic function, we can represent sec 60° as, sec 60 degrees = sec (60° + n × 360°), n ∈ Z. 5.cot 60 0 . Find the Exact Value csc (30 degrees ) csc(30°) csc ( 30 °) The exact value of csc(30°) csc ( 30 °) is 2 2.) ⇒ 120 degrees = 120° × (π/180°) rad = 2π/3 or 2. How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? (i) cos 65°/sin 25° + cos 32°/sin 58° - sin 28° sec 62° + cosec 2 30° (ii) sec 29°/ cosec 61° + 2 cot 8° cot 17° cot 45° cot 73° cot 82° - 3 (sin 2 38° + sin 2 52°). . Cosec 30° = 2.