1.
State the amplitude and the period for
y
= 2 cos
.
A.
amplitude = -2,
period = 4
B.
amplitude = 2,
period = 4
C.
amplitude = 2 ,
period =
D.
amplitude = -2,
period = 180°
Hint
2.
Which is the graph of
y
= cos 3
?
A.
B.
C.
D.
Hint
3.
Find tan
if 90° <
< 180°, and csc
.
A.
B.
C.
D.
Hint
4.
Rewrite (sin
2
x
+ cos
2
x
) ÷ tan
x
as an expression involving only cot
x
.
A.
cot
2
x
B.
cot
x
C.
2 cot
x
D.
1 – cot
x
Hint
5.
Which expression is equivalent to csc
x
– sin
x
?
A.
sin
x
+ cos
x
B.
sin
x
– cos
x
C.
D.
cos
2
x
+ sin
2
x
Hint
6.
Find the exact value of sin 225°.
A.
B.
C.
0
D.
Hint
7.
Find the exact value of sin 75°.
A.
B.
C.
D.
Hint
8.
Find the solution for 2 cos
x
=1 where
.
A.
B.
C.
D.
Hint
9.
Solve 2 sin
2
x
– sin
x
= 1 for
.
A.
B.
C.
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
= 2 sin
+ 11
B.
y
= 2 sin
+ 9
C.
y
= 4 sin
+ 11
D.
y
= 4 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
= 5 + sin [2(
–45)]
B.
y
= 1 + sin [2(
–45)]
C.
y
= 3 + sin [4(
–45)]
D.
y
= 5 + sin [4(
–45)]
Hint
12.
Find tan
if cos
=
and 0° <
< 90°
A.
8
B.
C.
D.
Hint
13.
Suppose sin
=
and sin 2
=
. In which quadrant(s) could this be?
A.
first only
B.
first or fourth
C.
second only
D.
first and second
Hint
14.
Find cos
if sin
x
=
and
x
is in the second quadrant.
A.
B.
C.
D.
Hint