Common Core HSF.TF.C.8 worksheet

Question 1

θ is acute and cos θ = 21/29. Find sin θ as a fraction.

Answer (as a fraction)

Question 2

True for all angles θ? sin(90° − θ) = cos θ

• A. True
• B. False

Question 3

θ is acute and cos θ = 24/25. Find tan θ as a fraction in simplest form.

Answer (as a fraction)

Question 4

90° < θ < 180° and sin θ = 8/17. Find cos θ as a fraction.

Answer (as a fraction)

Question 5

θ is acute and cos θ = 15/17. Find sin θ.

Answer (as a fraction)

Question 6

Simplify: (1 − sin²x)/cos x

• A. 0
• B. cos²x
• C. 1 + tan²x
• D. cos x

Question 7

θ is acute and sin θ = 5/13. Find cos θ as a fraction.

Answer (as a fraction)

Question 8

True for all angles θ? sin(90° − θ) = cos θ

• A. True
• B. False

Question 9

θ is acute and cos θ = 15/17. Find tan θ as a fraction in simplest form.

Answer (as a fraction)

Question 10

90° < θ < 180° and sin θ = 3/5. Find cos θ as a fraction.

Answer (as a fraction)

Question 11

θ is acute and sin θ = 7/25. Find cos θ.

Answer (as a fraction)

Question 12

Simplify: cos x · tan x

• A. sin x
• B. 1
• C. tan²x
• D. cos x

Question 13

θ is acute and sin θ = 3/5. Find cos θ as a fraction.

Answer (as a fraction)

Question 14

True for all angles θ? sin(90° − θ) = cos θ

• A. True
• B. False

Question 15

θ is acute and cos θ = 12/13. Find tan θ as a fraction in simplest form.

Answer (as a fraction)

Question 16

90° < θ < 180° and sin θ = 20/29. Find cos θ as a fraction.

Answer (as a fraction)