Download Name______________________________ October

Name______________________________
Math 3C
Mr. Nickels
Homework – Trigonometry Review
Show all work on a separate piece of loose leaf.
1. What is the period of the function y = 5 sin 3x?
2
2
a) 5
b)
c) 3
d)
5
3
2. A monitor displays the graph y = 3 sin 5x. What will be the amplitude after a
dilation of 2?
a) 5 b) 6
c) 7
d) 10
3. If sin   0 and sec   0, in which quadrant does the terminal side of angle 
lie?
a) I
b) II
c) III
d) IV
4. Which of the following trigonometric functions does has a period of  ?
x
a) y  2sin x
b) y  cos
c) y  2 cos x
d) y  2sin 2 x
2
5. If the graphs of the equations y = 2 and y = 2 sin x are drawn on the same set of
axes, the number of points of the intersection between 0 and 2 will be
a) 1
b) 2
c) 0
d) 4
6. Which of the statements below are true about the graph of y = cos  ?
I.
Domain: all real numbers
II.
Range: -1  y  1
III.
Period: 2 
a) I, only
b) II, only
c) III, only
d) I, II, and III
3
7. If the sine of an angle is and the angle is not in Quadrant I, what is the value of
5
the cosine of the angle?
11
in degree measure.
6
9. Express sin 150 as a function of a positive acute angle.
4
10. If csc x =  and cos x  0, in which quadrant does angle x terminate?
3
11. a) On the same set of axes, sketch and label the graphs y = -2 cos 2x and y = -1
over the interval 0  x  2  .
b) How many times do the graphs from part a intersect?
2
12. State the amplitude, frequency, period, and range of the function y  2sin x +3
5
8.
Express