1.
Select the graph of
.
A.
B.
C.
D.
Hint
2.
Find cot
if 180° <
< 270° and cos
.
A.
B.
C.
D.
Hint
3.
Simplify sin
A
sec
A
.
A.
cos
A
B.
cot
A
C.
sin
A
D.
tan
A
Hint
4.
is equivalent to _____.
A.
tan
2
x
- 1
B.
sin
2
x
+ cos
x
C.
cot
2
x
D.
2 tan
x
Hint
5.
Rewrite (sin
2
x
+ cos
2
x
) ÷ tan
x
as an expression involving only cot
x
.
A.
cot
x
B.
cot
2
x
C.
2 cot
x
D.
1 cot
x
Hint
6.
Find the exact value of sin 75°.
A.
B.
C.
D.
Hint
7.
What is the exact value of cos 2
x
if cos
x
=
and
x
is in quadrant II?
A.
B.
C.
D.
Hint
8.
Which expression is equivalent to (sin
x
+ cos
x
)
2
.
A.
1 + sin 2
x
B.
cos
2
x
+ 1
C.
D.
2 csc 2
x
Hint
9.
How many periods will the function
y
= 2sin
contain in 9
radians?
A.
3
B.
C.
27
D.
Hint
10.
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
= 2 sin
+ 11
C.
y
= 4 sin
+ 9
D.
y
= 2 sin
+ 9
Hint
11.
Suppose that we want to shift the function
y
= 3 + sin [2(
45)] up 2 units. What would its equation be?
A.
y
= 1 + sin [2(
45)]
B.
y
= 5 + sin [4(
45)]
C.
y
= 5 + sin [2(
45)]
D.
y
= 3 + sin [4(
45)]
Hint
12.
Which of the following statements is false?
A.
sin (
+ 360°) = sin
B.
cos (
+ 720°) = cos
C.
sin (
+ 540°) = sin
D.
cos (
180°) = cos
Hint
13.
Which of the following contains a false solution to the equation sin
cot
cos
2
= 0?
A.
90°
B.
90° and 270°
C.
0° and 270°
D.
0° and 180°
Hint
14.
Solve 5 cos
2
+ 4 cos
12 = 0.
A.
no solution
B.
34°, 326°
C.
146°, 214°
D.
34°, 146°, 214°, 326°
Hint