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A2T Review 10.3
Name_____________________________
Convert each measure from degrees to radians or from radians to degrees.
1.
5
12
3. 
2. 215
________________________
4. 180
________________________
5.
________________________
7. 400
________________________
________________________
5
3
6. 
________________________
8.
29
18
7
6
________________________
3
10
9. 35
________________________
________________________
Use the unit circle to find the exact value of each trigonometric function.
10. cos
2
3
________________________
13. sin 315
________________________
11. tan
5
4
12. tan
________________________
14. cos 225
5
6
________________________
15. tan 60
________________________
________________________
Use a reference angle to find the exact value of the sine, cosine, and tangent
of each angle.
16. 150
________________________
19.
11
6
________________________
17. 225
18. 300
________________________
20. 
2
3
________________________
21.
________________________
5
4
________________________
Solve.
22. San Antonio, Texas, is located about 30 north of the equator.
If Earth’s radius is about 3959 miles, approximately how many
miles is San Antonio from the equator?
___________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
A2T Review 10.3
Name_____________________________
Problem Solving
1. 180
2. 60
330
 60 min
360
b. 55 min
c. 25 min
3. a.
THE UNIT CIRCLE
Practice A
d. 150
4. a. 2 h 20 min
b. 2
1.
1
3
c. 60
3
5. a. tan  
2
b. 2.2 km
6. 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.
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.

radians
3
2. 72
7
radians
4
3. 150
4.
5. 135
6. 
7. 240
8. 30
9.
5
radians
3
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.
3. a.
17. 
3
2
19. 628 ft
Practice B
b. 115
c. 65
4. a.
b. 160
c. 20
5. Yes; because you can find coterminal
angles by either adding 360 to or
subtracting 360 from the measure of the
angle
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
A2T Review 10.3
Name_____________________________
15.
3
16.
17.
2
2
;
; 1
2
2
18.
1 3
3
;
19.  ;
2 2
3
21. 
2
2
;
;1
2
2
1
3
3
;
;
2
2
3
3 1
; ; 3
2 2
20. 
7. 30
8. 300
9. 45
2
2
2
cos 45 
2
10. sin 45 
3 1
; ; 3
2
2
tan 45  1
22. 2073 mi
2
2
2
cos 315 
2
tan 315  1
11. sin 315  
Practice C
5
radians
2
1. 270
2.
3. 50
4. 
5. 315
6. 330
1. 6080 ft
2. 1,600,921 mi; 66,705 mi/h
8. 63
3. Area of circle  r 2; A sector whose
central angle has a measure of  radians
7.
35
radians
18

radians
15
37
11.
radians
30
9.
1 3
3
;
13.  ;
2 2
3
15. 
3 1
; ; 3
2
2
2
2
;
;1
17. 
2
2
19.
2 2
;
;1
2 2
1
3
3
;
21.  ; 
2
2
3
23. 
3 1
; ; 3
2 2
10
radians
9
Challenge
10. 234
has an area of
7
12. 
radians
12
circle. So
14. 
2 2
;
; 1
2 2
16.
1
3
3
;
;
2
2
3
18.
3 1
; ; 3
2
2
Area of sector 
4.
24.
b.  
3.

4
radians
7
radians
6
5. 240
2.
4. 
2
radians
3
6. 270
2
2

or
6
3
 

2 3

2
6
d. 1.64 in.
2
2
;
; 1
2
2
5
radians
6

c. S  r 
e. Yes; possible answer: because the
arc length of the fragment is very
close to the arc length that would be
expected for a plate of diameter 
25. 138 ft
1. 
 

4
1. a. r 
2 2
;
; 1
2 2
Reteach

1
r 2  r 2 .
2
2
Problem Solving
20. 0; 1; 0
22. 

times the area of the
2
1
4
3. C
5. B
2.
4. H
6. F
Reading Strategy
1. 2
2. 0
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry