﻿ Trigonometric Functions Circle Worksheet | Problems & Solutions

# Trigonometric Functions Circle Worksheet

Trigonometric Functions Circle Worksheet
• Page 1
1.
Sketch the angle -150° in standard position.

 a. Figure 1 b. Figure 2 c. Figure 3 d. Figure 4

#### Solution:

The terminal side of the angle -150° lies in quadrant III in the clockwise direction. This is as shown in Figure 4.

2.
Which angle between 0° and 360° is coterminal with the angle - 400°?
 a. 320° b. - 40° c. 40° d. 60°

#### Solution:

- 400° + 2(360°) = 320°

3.
Sketch the angle 60° in standard position.

 a. Figure 1 b. Figure 2 c. Figure 3 d. Figure 4

#### Solution:

The terminal side of the angle 60° lies in the quadrant I. This is shown in Figure 1.

4.
Which one of the angles is coterminal with the given angle 460°?
 a. 160° b. 360° c. 60° d. 100°

#### Solution:

460° - 360° = 100°
[Subtract one full rotation.]

5.
Which one of the following angles is coterminal with the angle 225°?
 a. - 45° b. 135° c. 75° d. - 135°

#### Solution:

225° - 360° = - 135°
[Subtract one full rotation.]

6.
Which one of the following angles is coterminal with the angle - 250°?
 a. - 110° b. - 140° c. 140° d. 110°

#### Solution:

- 250° + 360° = 110°

7.
Which angle between 0° and 360° is coterminal with the angle - 78°?
 a. 22° b. 282° c. 222° d. 78°

#### Solution:

- 78° + 360° = 282°

8.
Choose a positive angle and a negative angle that are coterminal with the angle 50°.
 a. 410°, - 300° b. 310°, - 410° c. 410°, - 310° d. 300°, - 400°

#### Solution:

50° - 360° = - 310°
[Subtract one full rotation.]

50° + 360° = 410°

9.
Choose a positive angle and a negative angle that are coterminal with the angle 300° .
 a. 60°, - 60° b. 660°, - 60° c. 60°, - 660° d. 360°, - 60°

#### Solution:

300° + 360° = 660°

300° - 360° = - 60°
[Subtract one full rotation.]

10.
Choose a positive angle and a negative angle that are coterminal with the angle - 550°.
 a. 250°, - 190° b. 150°, - 150° c. 170°, - 190° d. 190°, - 170°

#### Solution:

- 550° + 2(360°) = 170°