1.
Write the equation of the sine function if the amplitude is 5 and the period is 360°.
A.
y
= -5 sin 5
B.
y
= 5 sin
C.
y
= sin 5
D.
y
= - sin 5
Hint
2.
Write an equation of the function whose graph is shown.
A.
y
= sin 4
B.
y
= 2 sin
C.
y
= 2 sin
D.
y
= 4 sin
Hint
3.
Find the exact value of sin 225°.
A.
B.
0
C.
D.
Hint
4.
What is the exact value of cos 2
x
if cos
x
=
and
x
is in quadrant II?
A.
B.
C.
D.
Hint
5.
Which expression is equivalent to (sin
x
+ cos
x
)
2
.
A.
2 csc 2
x
B.
cos
2
x
+ 1
C.
1 + sin 2
x
D.
Hint
6.
For the function
y
=
cos (
– 50) + 3, what does the number 3 represent?
A.
horizontal shift
B.
amplitude
C.
period
D.
vertical shift
Hint
7.
Which of the following is an example of a function with a phase shift?
A.
y
= 1 + 3 cos
B.
y
= 3 + cos
C.
y
= 5 sin
D.
y
= 2 sin (
– 15)
Hint
8.
Find sec
if sin
=
and 180° <
< 270°.
A.
–2
B.
C.
D.
2
Hint
9.
Suppose tan
=
. Which of the following quadrants could contain
?
A.
first and second
B.
first and third
C.
first only
D.
second only
Hint
10.
Which of the following is not equivalent to the other three?
A.
B.
C.
D.
2 cot
x
sec
x
Hint
11.
Which of the following statements is not true?
A.
sec
tan
=
B.
csc
– sin
= cot
cos
C.
cot
– tan
D.
sec
+ cos
= sin
tan
Hint
12.
Find the exact value of cos (480°).
A.
B.
C.
D.
Hint
13.
Solve 2 cos 2
= 1.
A.
150°, 210°
B.
30°, 150°, 210°, 330°
C.
30°, 330°
D.
30°, 150°
Hint
14.
Which of the following contains a false solution to the equation sin
cot
– cos
2
= 0?
A.
90° and 270°
B.
90°
C.
0° and 270°
D.
0° and 180°
Hint