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```
Mathematics SL
Name___________________________________
Practice Test: Chapter 8 Radians and the Unit Circle
Period____
Convert each degree measure into radians.
1) 30°
Convert each radian measure into degrees.
2)


Find the length of each arc.
3)
4) r ft,  
10 mi
°
Find the area of each sector.
5)


13 in
Find a positive and a negative coterminal angle for each given angle.
6)


Find a coterminal angle between 0° and 360°.
7) °
State the quadrant in which the terminal side of each angle lies.
8) °
9)
-1-





Draw an angle with the given measure in standard position.
10) 


y
x
Solve each equation for  .
11) 

sin 

Solve each equation for    .
12) cos 
13)

cos 

Find all solutions to each equation in radians.
14) cos  
Find the exact value of each trigonometric function.
15) cos 
y
x
°
16) Find the slope of a line that passes through the origin and is rotated 120° from the positive x-axis
17) Find the area in exact form of the sector of a circle centered at the origin and minor arc endpoints at (, ) and


,
.



(
)
18) Find all  c if the terminal ray of an angle of
rotation passes through a point on the

unit-circle with an x-coordinate of
.

(Assume k is an integer.)
-2-




5)
in²

9) IV
1)
2) 120°
6)


and 


10)
y
3)  mi
4)  ft
7) °
8) I
11) , 
12)  
x
 



17)

13)




 n
15)




18)  k and
 k


14)
-3-
16) - 
```
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