ACM 3/ Math 4 Review for Trig. Chapter Test
Change between Radians and Degrees
1. 35o 2. 3. 315o 4.
Tell the quadrant the terminal side of the given angle would be.
5. 6. 225o 7. 8. -567o
Find one positive and one negative co-terminal angle with the given angle.
9. 550 10.
11. If what would be?
12-14. Find the missing sides and angles of the given triangle.
A 12 C
A = ____ a = _____
B = 56o b = 12
C = 90o c = _____
B
15-17. Find the missing sides and angles of the given triangle.
A C
A = 27o a = _____
B = ____ b = _____
9
C = 90o c = 9 B
Draw the following angles in standard position, find the reference angles and mark them.
18. 156.52’ 19.
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.
21. Sin x = and .
Sin x = Csc x =
Cos x = Sec x =
Tan x = Cot x =
23.In the figure to the right, what is the value of y?
q
A) r•cos q B) r•sin q C) r•tan q
D) -r•cos q E) -r•sin q 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° E) 180°- x
26. An arc of length 8 is subtended in a circle of radius 12. 12 8
What is the radian measure of the central angle q? q
A) B) C)
D) E)
27. If the point (a, 2) lies on the terminal side of <q, find sec q.
A) B) C) D) E)
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?