1.
Change
radians to degree measure.
A.
-145°
B.
135°
C.
145°
D.
-135°
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.
231.1 cm
2
B.
253.4 cm
2
C.
1013.7 cm
2
D.
506.8 cm
2
Hint
3.
Determine the angular displacement in radians of 11.3 revolutions. Round to the nearest tenth.
A.
71.0 radians
B.
1.8 radians
C.
3.6 radians
D.
35.5 radians
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.
165 cm/s
B.
33.4 cm/s
C.
52.5 cm/s
D.
518.4 cm/s
Hint
5.
Find sin 5
by referring to the graph of the sine function.
A.
B.
1
C.
0
D.
-1
Hint
6.
Which is not a true statement about the properties of the graph of
y
= cos
x
?
A.
The
x
-intercepts are located at
, where
n
is an integer.
B.
The period is 2
.
C.
The y-intercept is 1.
D.
The maximum values are
y
= 1 and occur when
, where
n
is an integer.
Hint
7.
State the amplitude and period for the function
y
= -3 sin 3
.
A.
3;
B.
-3;
C.
-3;
D.
3;
Hint
8.
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
D.
y
= ±3 cos 3
Hint
9.
State the phase shift for
y
= 2.5 sin
.
A.
-
B.
C.
2
D.
-2
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.
undefined
B.
-1
C.
1
D.
0
Hint
12.
Write an equation for a secant function with period 2
, phase shift
, and vertical shift 1.
A.
y
= sec
+ 1
B.
y
= sec
- 1
C.
y
= sec
+ 1
D.
y
= sec
- 1
Hint
13.
Find Arcsin
.
A.
B.
C.
D.
-
Hint
14.
Find Cos
-1
.
A.
1
B.
C.
0
D.
-1
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 above equilibrium
C.
0.5 unit above equilibrium
D.
6 units below 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.
6 units above equilibrium
B.
3 units below equilibrium
C.
3 units above equilibrium
D.
6 units below equilibrium
Hint