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Algebra 2 Quiz - Degrees, Radians, and Unit Circle

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.

Convert the following degree measure into radians.

 130°130\degree  

a)

 13π18\frac{13\pi}{18}  

b)

 9π11\frac{9\pi}{11}  

c)

 4π5\frac{4\pi}{5}  

d)

 3π7\frac{3\pi}{7}  

2.

Convert the following degree measure into radians.

 −285°-285\degree  

a)

 −19π12-\frac{19\pi}{12}  

b)

 −9π11-\frac{9\pi}{11}  

c)

 −4π5-\frac{4\pi}{5}  

d)

 −3π7-\frac{3\pi}{7}  

3.

Convert the following radian measure into degrees.

 −17π9-\frac{17\pi}{9}  

a)

 −340°-340\degree  

b)

 −255°-255\degree  

c)

 −300°-300\degree  

d)

 −200°-200\degree  

4.

Convert the following radian measure into degrees.

 7π36\frac{7\pi}{36}  

a)

 35°35\degree  

b)

 50°50\degree  

c)

 75°75\degree  

d)

 30°30\degree  

5.

Determine which angle below is a positive coterminal angle with 290°290\degree 

a)

 650°650\degree  

b)

 470°470\degree  

c)

 −70°-70\degree  

d)

 110°110\degree  

6.

Determine which angle below is a negative coterminal angle with 290°290\degree 

a)

 650°650\degree  

b)

 470°470\degree  

c)

 −70°-70\degree  

d)

 110°110\degree  

7.

Determine the reference angle for 290°290\degree 

a)

 20°20\degree  

b)

 180°180\degree  

c)

 70°70\degree  

d)

 40°40\degree  

8.

Use your unit circle to find the tan⁡135°\tan135\degree 

a)

 −1-1  

b)

 3\sqrt{3}  

c)

 33\frac{\sqrt{3}}{3}  

d)

 22  

9.

Use your unit circle to find the sin⁡120°\sin120\degree 

a)

 22\frac{\sqrt{2}}{2}  

b)

 3\sqrt{3}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 12\frac{1}{2}  

10.

Use your unit circle to find the cos⁡7π4\cos\frac{7\pi}{4} 

a)

 22\frac{\sqrt{2}}{2}  

b)

 3\sqrt{3}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 12\frac{1}{2}