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ACM 3/ Math 4
Review for Trig. Chapter Test
Change between Radians and Degrees
7
1. 35o
2.
13
3. 315o
4.
11
12
Tell the quadrant the terminal side of the given angle would be.
5.
13
2
6. 225o
7. 
5
3
8. -567o
Find one positive and one negative co-terminal angle with the given angle.
9. 550
10.
11. If sin 
17
4
5
what would tan be?
9
12-14. Find the missing sides and angles of the given triangle.
A
12
A = ____
a = _____
B = 56o
C
b = 12
56o
C = 90
o
c = _____
B
15-17. Find the missing sides and angles of the given triangle.
A
o
A = 27
a = _____
27o
B = ____
C
b = _____
9
C = 90
o
c= 9
B
Draw the following angles in standard position, find the reference angles and mark them.
18. 156.52’
19. 2580 12
Use the given point on the terminal side of an angle x in standard position. Evaluate the six
trigonometric functions of x.
20.
(-12, 5)
Sin x =
Csc x =
Cos x =
Sec x =
Tan x =
Cot x =
Given a trig ratio of an angle x and the quadrant the terminal side of the angle is in, evaluate the
remaining 5 trigonometric functions of x.
3
21. Sin x =  and cos   0 .
7
3
Sin x = 
Csc x =
7
Cos x =
Sec x =
Tan x =
Cot x =
22. Use the Unit Circle to find the following exact values
sin
5

_____ tan135 ______ sec ______ cot  240 ______
4
3
23.In the figure to the right, what is the value of y?

A) r•cos 
B) r•sin 
D) r•cos 
E) r•sin 
C) r•tan 
r
(x, y)
24. If cot θ = 1.9312, find θ in degrees.
A) 62.62
B) 27.38
C) .5178
D) .0337
E) .0090
25. If x is an angle and 450 < x < 540, the reference angle for x is:
A) 540- x
B) 450- x
C) x - 450
D) x - 360
26. An arc of length 8 is subtended in a circle of radius 12.
What is the radian measure of the central angle ?
Note: Arc  Radius  CentralAngle
(centralAngle must be expressed in Radians)
2
2
1
A)
B)
C)
3
3
3
1

D)
E)
3
3
27. If the point (a, 2) lies on the terminal side of <, find sec .
A)
a2  4
a
B)
a2  4
a
C)
2
a 4
2
E) 180- x
12
8

D)
a4
2
E)
a4
a
28. . Explain the difference between sin-1θ and (sin θ)-1.
29. Write the EXACT value of: sin 120 - cos 300 and simplify completely.
DON'T USE DECIMAL VALUES! tan 240 + sec 135
30. A building is on fire. If a ladder is 110ft long and has an angle of elevation of 72 degrees how far up the building will the
firemen get?
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