Pythagorean Identities Worksheet

Pythagorean Identities Practice

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. The most fundamental Pythagorean identity is sin²θ + cos²θ =  .

2. Dividing sin²θ + cos²θ = 1 by cos²θ gives the identity   + 1 = sec²θ.

3. Dividing sin²θ + cos²θ = 1 by sin²θ gives the identity 1 +   = csc²θ.

4. Which of the following is equivalent to 1 - sin²θ?

5. If tanθ = 3, what is the value of sec²θ?

6. Prove the identity: tan²θ + 1 = sec²θ.

7. If cosθ = 0.6, find sinθ. Show your work.

8. The identity 1 + cot²θ = csc²θ is derived by dividing sin²θ + cos²θ = 1 by cos²θ.