Worksheet on Evaluation Using Trigonometric Identities
In worksheet on evaluation using trigonometric identities we will solve various types of practice questions on finding the value of the trigonometric ratios or trigonometric expression using identities. Here you will get 6 different types of evaluation trigonometric identities questions with some selected questions hints.
1. If 1 + cos2 A = 3 cos A sin A, find the value of cot A.
2. If csc A – cot A = \(\frac{2}{3}\) then find the value of the following
(i) csc A + cot A
(ii) csc A
(iii) cot A
(iv) cos A
3. If sec θ + tan θ = x, find the value sec θ and tan θ.
4. If x cos A = 1 and y = tan A then find the value of x2 – y2.
5. If sec θ + tan θ = 3, find the value sin θ.
6. If sin A – cos A = \(\frac{\sqrt{3} - 1}{2}\) then find the value of the following
(i) sin A cos A
(ii) sin A + cos A
Hint: Use (sin A + cos A)2 + (sin A – cos A)2 = 2.
Answers on Worksheet
on evaluation using trigonometric identities are given below to check the exact answers of the questions.
Answers
1. \(\frac{1}{2}\) or, 1.
2. (i) \(\frac{3}{2}\)
(ii) \(\frac{13}{12}\)
(iii) \(\frac{5}{12}\)
(iv) \(\frac{5}{13}\)
3. \(\frac{x^{2} + 1}{2x}\) and \(\frac{x^{2} - 1}{2x}\)
respectively.
4. 1
5. \(\frac{4}{4}\)
6. (i) \(\frac{√3}{4}\)
(ii) \(\frac{\sqrt{3} + 1}{4}\)
You might like these
-
Complementary angles and their trigonometric ratios: We know that two angles A and B are complementary if A + B = 90°. So, B = 90° - A. Thus, (90° - θ) and θ are complementary angles. Trigonometric ratios of (90° - θ) are convertible to trigonometric ratios of θ.
-
In Worksheet on finding the unknown angle using trigonometric identities we will solve various types of practice questions on solving equation. Here you will get 11 different types of solving equation using trigonometric identities questions with some selected questions hint
-
In Worksheet on elimination of unknown angle(s) using Trigonometric identities we will prove various types of practice questions on Trigonometric identities. Here you will get 11 different types of elimination of unknown angle using Trigonometric identities questions with
-
In worksheet on establishing conditional results using Trigonometric identities we will prove various types of practice questions on Trigonometric identities. Here you will get 12 different types of establishing conditional results using Trigonometric identities questions
-
In worksheet on trigonometric identities we will prove various types of practice questions on establishing identities. Here you will get 50 different types of proving trigonometric identities questions with some selected questions hints. 1. Prove the trigonometric identity
-
Problems on finding the unknown angle using trigonometric identities. 1. Solve: tan θ + cot θ = 2, where 0° < θ < 90°. Solution: Here, tan θ + cot θ = 2 ⟹ tan θ +1/tan θ = 2 ⟹ (tan^2 θ + 1)/tan θ = 2 ⟹ tan^2 θ + 1 = 2 tan θ ⟹ tan^2 θ - 2 tan θ + 1 = 0 ⟹ (tan θ - 1)^2 = 0
-
Problems on elimination of unknown angles using trigonometric identities. If x = tan θ + sin θ and y = tan θ - sin θ, prove that x^2 – y^2 = 4\(\sqrt{xy}\). Solution: Given that x = tan θ + sin θ and y = tan θ - sin θ . Adding (i) and (ii), we get x + y = 2 tan θ
-
If a relation of equality between two expressions involving trigonometric ratios of an angle θ holds true for all values of θ then the equality is called a trigonometric identity. But it holds true only for some values of θ, the equality gives a trigonometric equation.
10th Grade Math
From Worksheet on Evaluation Using Trigonometric Identities to HOME PAGE
Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.