1.
Simplify sin
.
A.
tan
x
B.
2 sin
x
C.
2 cos
x
D.
sin
x
+ cos
2
x
Hint
2.
Simplify the expression sin
x
(1 + cot
2
x
)
A.
sin
2
x
B.
sin
x
tan
x
C.
csc
x
D.
1 + cos
2
x
Hint
3.
Write (cos
x
)(sec
x
– cos
x
) as an expression involving only sin
x
.
A.
B.
2 sin
x
C.
1- sin
2
x
D.
sin
2
x
Hint
4.
What is the exact value of cos (-60°)?
A.
B.
-1
C.
D.
0
Hint
5.
Find the exact value of sin 75°.
A.
B.
C.
D.
Hint
6.
How many periods will the function
y
= 2sin
contain in 9
radians?
A.
B.
C.
3
D.
27
Hint
7.
Which function will have the most periods in 2
radians?
A.
y
= 3sin (5
)
B.
y
= 2sin
C.
y
= 4sin(4
)
D.
y
= 5sin
Hint
8.
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
+ 11
C.
y
= 2 sin
+ 9
D.
y
= 4 sin
+ 9
Hint
9.
Suppose that we want to shift the function
y
= 3 + sin [2(
–45)] up 2 units. What would its equation be?
A.
y
= 3 + sin [4(
–45)]
B.
y
= 5 + sin [4(
–45)]
C.
y
= 5 + sin [2(
–45)]
D.
y
= 1 + sin [2(
–45)]
Hint
10.
Which of the following is not equivalent to the other three?
A.
2 cot
x
sec
x
B.
C.
D.
Hint
11.
Find the exact value of sin 165°.
A.
B.
C.
D.
Hint
12.
Suppose sin
=
and sin 2
=
. In which quadrant(s) could this be?
A.
first and second
B.
first or fourth
C.
second only
D.
first only
Hint
13.
Solve 2 cos 2
= 1.
A.
30°, 150°, 210°, 330°
B.
30°, 150°
C.
30°, 330°
D.
150°, 210°
Hint
14.
Which of the following contains a false solution to the equation sin
cot
– cos
2
= 0?
A.
90°
B.
0° and 270°
C.
90° and 270°
D.
0° and 180°
Hint