1.
Change -120° to radian measure in terms of
.
A.
-
B.
C.
D.
-
Hint
2.
Find the area of a sector if the central angle measures
radians and the radius of the circle is 22 centimeters. Round to the nearest tenth.
A.
1013.7 cm
2
B.
231.1 cm
2
C.
253.4 cm
2
D.
506.8 cm
2
Hint
3.
Determine the angular velocity if 4.5 revolutions are completed in 7 seconds. Round to the nearest tenth.
A.
11.1 radians/s
B.
4.0 radians/s
C.
2.0 radians/s
D.
5.01 radians/s
Hint
4.
A bicycle wheel is 30 inches in diameter. If the wheel turns at a constant rate of 3 revolutions per second, what is the linear speed in miles per hour of a point on the tire?
A.
about 18.4 mph
B.
about 13.7 mph
C.
about 16.1 mph
D.
about 19.5 mph
Hint
5.
Determine if the function is periodic. If so, state the period.
A.
yes; 4
B.
yes; 2
C.
yes; 1
D.
no
Hint
6.
Find sin 5
by referring to the graph of the sine function.
A.
-1
B.
1
C.
D.
0
Hint
7.
State the amplitude for the function
y
= -
cos
.
A.
-
B.
-
C.
D.
1
Hint
8.
State the period for the function
.
A.
2
B.
8
C.
4
D.
16
Hint
9.
State the phase shift for
y
= 2.5 sin
.
A.
B.
2
C.
-2
D.
-
Hint
10.
State the amplitude, period, phase shift, and vertical shift for
A.
B.
C.
D.
Hint
11.
Find the value of csc
by referring to the graph of the cosecant function.
A.
-1
B.
undefined
C.
0
D.
1
Hint
12.
Find the period of the function
y
= csc
- 5.
A.
4
B.
C.
8
D.
Hint
13.
Find Arcsin
.
A.
B.
-
C.
D.
Hint
14.
Find Cos
-1
.
A.
0
B.
1
C.
-1
D.
Hint
15.
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
= 0.
A.
equilibrium
B.
6 units below equilibrium
C.
0.5 unit above equilibrium
D.
6 units above equilibrium
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.
3 units above equilibrium
B.
3 units below equilibrium
C.
6 units below equilibrium
D.
6 units above equilibrium
Hint