1.
Change -120° to radian measure in terms of
.
A.
-
B.
C.
-
D.
Hint
2.
Evaluate tan
.
A.
B.
-
C.
D.
-
Hint
3.
Determine the angular velocity if 4.5 revolutions are completed in 7 seconds. Round to the nearest tenth.
A.
2.0 radians/s
B.
4.0 radians/s
C.
5.01 radians/s
D.
11.1 radians/s
Hint
4.
Determine the linear velocity of a point rotating at an angular velocity of
radians per second at a distance of 11 centimeters from the center of the rotating object. Round to the nearest tenth.
A.
518.4 cm/s
B.
165 cm/s
C.
33.4 cm/s
D.
52.5 cm/s
Hint
5.
Which is not a true statement about the properties of the graph of
y
= sin
x
?
A.
The
y
-intercept is 0.
B.
The domain is the set of real numbers
C.
The period is
.
D.
The range is the set of real numbers between -1 and 1, inclusive.
Hint
6.
Find sin 5
by referring to the graph of the sine function.
A.
0
B.
1
C.
D.
-1
Hint
7.
Write an equation of the cosine function with amplitude 3 and period 9
.
A.
y
= ±3 cos
B.
y
= ±3 cos
C.
y
= ±3 cos 3
D.
y
= ±3 cos
Hint
8.
Graph
y
= 5 cos 2
for 1 period of the function.
A.
B.
C.
D.
Hint
9.
State the amplitude, period, phase shift, and vertical shift for
A.
B.
C.
D.
Hint
10.
Write an equation of a cosine function with amplitude 3, period
, phase shift
, and vertical shift 2.
A.
B.
C.
D.
Hint
11.
Find the period of the function
y
= csc
- 5.
A.
B.
8
C.
D.
4
Hint
12.
Write an equation for a tangent function with period
, phase shift -
, and vertical shift 3.
A.
y
= tan
+ 3
B.
y
= tan
+ 3
C.
y
= tan
+ 3
D.
y
= tan
+ 3
Hint
13.
Write the equation for the inverse of
y
= Arctan 4
x
.
A.
y
= 4 Tan
x
B.
y
=
Tan
x
C.
y
= 2 Tan
x
D.
y
=
Tan
x
Hint
14.
Find Arcsin
.
A.
B.
C.
D.
-
Hint
15.
Suppose the equation
models the number of liters of air in the lungs of a gorilla at
t
seconds. Find the amount of air in the lungs at
t
= 4.5 seconds.
A.
about 0.17 L
B.
about 0.19 L
C.
about 0.15 L
D.
about 0.23 L
Hint
16.
Suppose the equation
models a buoy bobbing up and down in the water. The equilibrium point is
y
= 0. Describe the location of the buoy when
t
= 7.
A.
6 units above equilibrium
B.
6 units below equilibrium
C.
3 units below equilibrium
D.
3 units above equilibrium
Hint