1.
Simplify sin
A
sec
A
.
A.
cot
A
B.
cos
A
C.
tan
A
D.
sin
A
Hint
2.
Which expression is equivalent to csc
x
– sin
x
?
A.
sin
x
– cos
x
B.
C.
sin
x
+ cos
x
D.
cos
2
x
+ sin
2
x
Hint
3.
Determine the solution of 3 sin
x
+ 2 = cos 2
x
for
.
A.
B.
C.
D.
Hint
4.
What is the amplitude and period of the function
y
= 3 cos (-
)?
A.
Amplitude = 2,
Period =
B.
Amplitude = 3,
Period = –
C.
Amplitude = 3,
Period = 2
D.
Amplitude = 3,
Period =
Hint
5.
How many periods will the function
y
= 2sin
contain in 9
radians?
A.
3
B.
27
C.
D.
Hint
6.
A runner's pace oscillates during a race between 9 mph and 13 mph. For a one-hour race, this person's pace oscillates 20 times. What is a sine function that represents this situation?
A.
y
= 4 sin
+ 11
B.
y
= 4 sin
+ 9
C.
y
= 2 sin
+ 9
D.
y
= 2 sin
+ 11
Hint
7.
The graph below is a representation of which function?
A.
B.
C.
D.
Hint
8.
Suppose tan
=
. Which of the following quadrants could contain
?
A.
first and second
B.
second only
C.
first and third
D.
first only
Hint
9.
Which of the following is not equivalent to the other three?
A.
2 cot
x
sec
x
B.
C.
D.
Hint
10.
Find the exact value of cos (480°).
A.
B.
C.
D.
Hint
11.
Which statement is true?
A.
sin 45° = –cos (–45°)
B.
cos 135° = sin 45°
C.
cos 225° = sin 45°
D.
sin 30° = cos 300°
Hint
12.
Find the exact value of sin 165°.
A.
B.
C.
D.
Hint
13.
Suppose sin
=
and sin 2
=
. In which quadrant(s) could this be?
A.
second only
B.
first only
C.
first or fourth
D.
first and second
Hint
14.
Solve cos
= 3 cos
– 1.
A.
60°, 120°
B.
30°, 330°
C.
30°, 150°
D.
60°, 300°
Hint