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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.


Correct answer : (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°
[Add two full rotations.]


Correct answer : (1)
 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.


Correct answer : (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.]


Correct answer : (4)
 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.]


Correct answer : (4)
 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°
[Add one full rotation.]


Correct answer : (4)
 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°
[Add one full rotation.]


Correct answer : (2)
 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°
[Add one full rotation.]


Correct answer : (3)
 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°
[Add one full rotation.]

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


Correct answer : (2)
 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°
[Add two full rotations.]

- 550° + 360° = -190°
[Add one full rotation.]


Correct answer : (3)

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