1.
Simplify sec
cos
.
A.
1
B.
sin
2
C.
tan
2
- 1
D.
cos
2
Hint
2.
Simplify cos
B
+ tan
B
sin
B
A.
cos
B
B.
sin
B
C.
cot
B
D.
sec
B
Hint
3.
Which expression is equivalent to csc
x
– sin
x
?
A.
sin
x
– cos
x
B.
C.
cos
2
x
+ sin
2
x
D.
sin
x
+ cos
x
Hint
4.
What is the exact value of cos (-60°)?
A.
B.
C.
-1
D.
0
Hint
5.
2 cot
x
sin
2
x
is equivalent to ________.
A.
1 + sin
2
x
B.
sin 2
x
C.
cos
D.
cos
2
x
+ sin
x
Hint
6.
What is the amplitude and period of the function
y
= 3 cos (-
)?
A.
Amplitude = 3,
Period = –
B.
Amplitude = 3,
Period =
C.
Amplitude = 3,
Period = 2
D.
Amplitude = 2,
Period =
Hint
7.
How many periods will the function
y
= 2sin
contain in 9
radians?
A.
B.
3
C.
27
D.
Hint
8.
What is the midline of the function
y
= 2 sin
– 4?
A.
y
= –4
B.
y
= 2
C.
y
= –2
D.
y
= 4
Hint
9.
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
= 2 sin
+ 11
B.
y
= 4 sin
+ 9
C.
y
= 4 sin
+ 11
D.
y
= 2 sin
+ 9
Hint
10.
Simplify
.
A.
sec
B.
sin
C.
cos
D.
csc
Hint
11.
Find the exact value of cos 255°.
A.
B.
C.
D.
Hint
12.
Suppose sin
=
and sin 2
=
. In which quadrant(s) could this be?
A.
second only
B.
first and second
C.
first or fourth
D.
first only
Hint
13.
Solve cos
= 3 cos
– 1.
A.
30°, 150°
B.
60°, 300°
C.
30°, 330°
D.
60°, 120°
Hint
14.
Which of the following contains a false solution to the equation sin
cot
– cos
2
= 0?
A.
90° and 270°
B.
0° and 180°
C.
90°
D.
0° and 270°
Hint