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Name _______________________________________ Date __________________ Class __________________
Practice A
The Unit Circle
Convert each measure from degrees to radians or from radians to
degrees.
2. 
1. 60
  radians 
60 
  _______________
 180 
3.
5
6
2
5
 2  180 
  5   radians   _______________



5. 
4. 315
________________________
6. 105
________________________
9. 300
________________________
________________________
7.
4
3
________________________
8. 
________________________
10. 10
3
6

6
________________________
11.
________________________
16
9
________________________
Find the exact value of each trigonometric function. Use the unit
circle.
12. sin 60
a. At what point on the unit circle does the angle terminate?
___________________
b. Use sin  y.
___________________
13. cos
5
3
________________________
16. sin 330
________________________
15. tan 
14. tan 225
________________________
17. cos 150
________________________
18. tan 240
________________________
________________________
Solve.
19. John is adding a curved edge to the landscaping in front of the high school.
The curve is an arc of a circle with a radius of 1600 feet.
The central angle that intercepts the curve measures

radians.
8
Find the length of the curve to the nearest foot.
________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date __________________ Class __________________
subtracting 360 from the measure of the
angle
Problem Solving
1. 180
2. 60
330
 60 min
360
b. 55 min
c. 25 min
3. a.
6. Yes; because by definition, reference
angles are the measure of the positive
acute angle made by the terminal side
of an angle and the x-axis.
THE UNIT CIRCLE
d. 150
Practice A
4. a. 2 h 20 min

radians
3
2. 72
1
b. 2
3
1.
c. 60
3. 150
4.
5. 135
6. 
7. 240
8. 30
5. a. tan  
3
2
b. 2.2 km
6. A
7. J
Reading Strategy
1. Possible answer: The angle is positive
and measures between 180 and 270.
2. Possible answer: The angle is negative
and measures between 270 and
360.
3. a.
9.
5
radians
3
c. 65
4. a.
b. 160
c. 20
5. Yes; because you can find coterminal
angles by either adding 360 to or
7
radians
12

10. 
18
radians
11. 320
1 3
12. a.  ,

2 2 
3
2
b.
1
2
14. 1
15. 0
16. 
1
2
18.
3
13.
17. 
b. 115
7
radians
4
3
2
19. 628 ft
Practice B
43
radians
36
1. 75
2.
3. 290
4.  radians
5. 300
6. 210
7.
20
radians
9
9.
7
radians
36
11. 1
13. 
2
2
8. 54
10. 
1
2
12. 
3
3
14. 
2
2
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry