Solve trigonometric equations between 0° and 360°

Question 1

Solve cos x = 1/2 for 0° ≤ x < 360°.

• A. 120°, 240°
• B. 60°, 300°
• C. 60°, 120°
• D. 240°, 300°

Question 2

Solve sin x = 0.7, giving the solution between 90° and 180° to 1 decimal place.

Answer 

Question 3

Solve tan x = −1 for 0° ≤ x < 360°.

• A. 135°, 225°
• B. 45°, 135°
• C. 45°, 315°
• D. 135°, 315°

Question 4

Solve sin x = 0.9, giving the solution between 90° and 180° to 1 decimal place.

Answer 

Question 5

Solve sin x = −1/2 for 0° ≤ x < 360°.

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

Question 6

Solve sin x = 0.3, giving the solution between 90° and 180° to 1 decimal place.

Answer 

Question 7

Solve sin x = −√2/2 for 0° ≤ x < 360°.

• A. 135°, 225°
• B. 45°, 225°
• C. 135°, 315°
• D. 225°, 315°

Question 8

Solve sin x = 0.8, giving the solution between 90° and 180° to 1 decimal place.

Answer 

Question 9

Solve sin x = −1/2 for 0° ≤ x < 360°.

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

Question 10

Solve sin x = 0.7, giving the solution between 90° and 180° to 1 decimal place.

Answer 

Question 11

Solve cos x = 1/2 for 0° ≤ x < 360°.

• A. 120°, 300°
• B. 60°, 240°
• C. 60°, 300°
• D. 120°, 240°

Question 12

Solve sin x = 0.3, giving the solution between 90° and 180° to 1 decimal place.

Answer 

Question 13

Solve cos x = −√3/2 for 0° ≤ x < 360°.

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

Question 14

Solve sin x = 0.7, giving the solution between 90° and 180° to 1 decimal place.

Answer 

Question 15

Solve sin x = −1/2 for 0° ≤ x < 360°.

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

Question 16

Solve sin x = 0.2, giving the solution between 90° and 180° to 1 decimal place.

Answer