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.

Worksheet on Evaluation Using Trigonometric Identities

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) \(\frac{\sqrt{3} + 1}{4}\)





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.




Share this page: What’s this?

Recent Articles

  1. Measuring Length | Relationship between Meter & CM | Unit of Length

    Nov 08, 24 01:25 AM

    Non-standard Units of Length
    Measuring length will help us to know the measure of how tall a boy or a girl is or, how long the cloth is. Meter is the standard unit of length. If we divide the length of a meter in 100 equal parts

    Read More

  2. Concept of Fractions |Concept of Half| Concept of One Fourth|Two Third

    Nov 07, 24 01:38 PM

    One-half
    Concept of fractions will help us to express different fractional parts of a whole. One-half When an article or a collection of objects is divided into two equal parts is called as half of the whole.

    Read More

  3. 2nd Grade Math Practice | Second Grade Math |2nd Grade Math Worksheets

    Nov 06, 24 11:59 PM

    In 2nd grade math practice you will get all types of examples on different topics along with the solutions. Second grade math games are arranged in such a way that students can learn math

    Read More

  4. 2nd Grade Division Word Problems | Worksheet on Division Word Problems

    Nov 05, 24 01:49 PM

    Division is the opposite of multiplication. In 2nd Grade Division Word Problems we will learn how to solve different types of word problems problems on division.

    Read More

  5. 2nd Grade Division Worksheet | Dividing 2-digit by 1-digit Numbers

    Nov 05, 24 01:15 AM

    Division Fact 12 ÷ 3
    In worksheet on 2nd grade division worksheet we will solve the multiple choice questions on division, problems on division fact for the repeated subtraction, terms used in division, division on the nu…

    Read More