12th grade trigonometry

Question 1

For y = −3cos(6x) − 4 (x in degrees), what is the period, in degrees?

Answer 

Question 2

True for all angles θ? sin(−θ) = −sin θ

• A. True
• B. False

Question 3

θ is acute and cos θ = 4/5. Find tan θ as a fraction in simplest form.

Answer (as a fraction)

Question 4

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

Answer (as a fraction)

Question 5

What is the period of y = 3cos(2x), with x in radians? Give it in terms of π.

Answer 

Question 6

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

Answer (as a fraction)

Question 7

Solve sin x = 0.1, giving the solution between 90° and 180° to 1 decimal place.

Answer 

Question 8

Solve tan x = √3/3 for 0° ≤ x < 360°.

• A. 150°, 210°
• B. 210°, 330°
• C. 30°, 210°
• D. 30°, 150°

Question 9

Simplify: (1 − sin²x)/cos x

• A. cos x
• B. cos²x
• C. tan x
• D. 0

Question 10

What is the amplitude of y = 2 cos(x)?

Answer 

Question 11

90° < θ < 180° and sin θ = 7/25. Find cos θ as a fraction.

Answer (as a fraction)

Question 12

Solve cos x = √3/2 for 0° ≤ x < 360°. Give the larger solution in degrees.

Answer 

Question 13

What is the minimum value of y = 3 sin x + 6?

Answer 

Question 14

What is the maximum value of y = 5sin x + 4?

Answer 

Question 15

For y = −2sin(x) + 4 (x in degrees), what is the amplitude?

Answer 

Question 16

True for all angles θ? sin(2θ) = 2 sin θ

• A. True
• B. False