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Review Test 1.2 Trig Ratios
I.
1.
Name______________
Convert from radians to degrees. Round to two decimal places.
11
3
2. 
II.

7
Convert from degrees to radians. Leave in reduced fractional

form.
3. 130
4. 716
III.
Find two coterminal angles, one positive and one negative, MAINTAIN THE SAME UNIT.
5. 512
IV.
7.
6.
5
7
State the quadrant or axis where each angle terminates.

11
12
8.
  600
9.

 5
2
10.
  5.12
V. Give the exact simplified value. (No decimals and No calculators)
11. cos
2
3
16. sin
7
4
12.
sin 210
17. cos
13. tan
5
6
11
6
18.

 5 

 2 
15. csc 225
14. cot 

  

 2 
tan 240
19. sin 
VI. Evaluate the given trigonometric function for each quadrantal angle. (No decimals and No Calculators)
21. cos 
3
20. sec 90
22. sin 270
23. cot


2
VII. Find the angle measure(s) for

that make the statement true where
(No Calculator)
24. cos  
VIII.
1
2
26. csc   2
25.
cot  is undefined
0    360 (DEGREES)
27. tan    1
28. cot   
3
Use your calculator to find each of these to 4 decimal places. Watch your mode.
29. tan115
Solve Each:
33. A 126 foot ramp makes
an angle of elevation of 18
with the ground. What is
the vertical height of the
highest point of the ramp?

30. sec 100

31.
csc  4.12
 

 7
32. cot  
34. A surveyor wants to know the
width of a river. From point A, he walks
downstream 85 feet to point C. From
this sighting,   72 from point C to
point B. Point B is directly across the
river from point A. How wide is the
river?
B
w

A
IX.
Right Triangle Trigonometry.
34. Find the 6 trigonometric values for
given right triangle.
 in the

2
C
35. Find the 6 trigonometric function values for the
angle  in standard position if its terminal side
contains the point
3
85
feet
 8,15 .
X.
State the reference angle. Keep radians in radians and degrees in degrees.
37. 200
36. 250
XI.
39.
38.
3
4
Given the provided information, find the exact values of the other five trigonometric functions.
cot  
1
4
sin   0
sin  
csc  
cos  
sec  
tan  
XII.
cot  
1
4
Give the measure of an angle that has the given reference angle and that terminates in the
designated quadrant. Keep radians in radians and degrees in degrees.
40. 60 terminates in
Quadrant III
41.

4
terminates in
42.
Quadrant II

5
terminates in
Quadrant IV
SOLUTIONS:
1. 660
2. -25.71
3. 13/18
4. -179/45
5. -152; 208
6. 19/7; -9/7
7. II
8. II
9. positive y-axis
10. IV
11. -1/2
12. -1/2
13. -3/3
14. 0
15. 2
16. -2/2
17. -3/2
18. 3
19. -1
20. undefined
21. -1
22. 1
23. 0
24. 120 or 240
25. 0 or 180
26. 30 or 150
27. 135 or 315
28. 150 or 330
29. -2.1445
30. -5.7588
31. -1.2054
32. -2.0765
33. 38.9 ft
34. 261.6 ft
34. sin =313/13
35. sin =15/17
36. 70
37. 20
38. /4
39. sin =417/17
40. 240
41. 3/4
42. 9/5
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