TRIGONOMETRIC IDENTITIES WORKSHEET

Problem 1 :

Problem 2 :

Problem 3 :

If tan θ = 2, then cot θ = ?

Problem 4 :

If sec θ = 1, then cos θ = ?

Problem 5 :

Problem 6 :

Problems 7-10 : Prove each of the following.

Problem 7 :

sin θ cot θ = cos θ

Problem 8 :

sin θ(sec θ + cot θ) = tan θ + cos θ

Problem 9 :

Problem 10 :

tan θ + cot θ = sec θ csc θ

Answers

1. Answer :

2. Answer :

3. Answer :

4. Answer :

5. Answer :

6. Answer :

Using Pythagorean Identity, we have

cos² θ = 1 - sin² θ

It is given that θ terminates in quadrant II. In quadrant II, cos θ < 0.

Then,

7. Answer :

8. Answer :

9. Answer :

10. Answer :

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