1.
Given a central angle of 105°, find the length of its intercepted arc in a circle of radius 6 centimeters. Round to the nearest tenth.
A.
10.4 cm
B.
22.0 cm
C.
11.0 cm
D.
5.2 cm
Hint
2.
The diameter of a circle is 18 inches. If a central angle measures 64°, find the length of the intercepted arc.
A.
about 18.2 in.
B.
about 20.1 in.
C.
about 14.6 in.
D.
about 10.1 in.
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.
35.5 radians
D.
3.6 radians
Hint
4.
A clothes dryer is rotating at 450 revolutions per minute. Determine its angular velocity in radians per second. Round to the nearest tenth.
A.
2,827.4 radians/s
B.
47.1 radians/s
C.
23.6 radians/s
D.
282.7 radians/s
Hint
5.
Which is not a true statement about the properties of the graph of
y
= sin
x
?
A.
The period is
.
B.
The domain is the set of real numbers
C.
The
y
-intercept is 0.
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.
B.
-1
C.
1
D.
0
Hint
7.
State the amplitude for the function
y
= -
cos
.
A.
-
B.
C.
1
D.
-
Hint
8.
Graph
y
= 5 cos 2
for 1 period of the function.
A.
B.
C.
D.
Hint
9.
State the phase shift for
y
= 2.5 sin
.
A.
-
B.
2
C.
-2
D.
Hint
10.
Find the value of csc
by referring to the graph of the cosecant function.
A.
undefined
B.
-1
C.
0
D.
1
Hint
11.
Find the period of the function
y
= csc
- 5.
A.
B.
4
C.
D.
8
Hint
12.
Find Arcsin
.
A.
-
B.
C.
D.
Hint
13.
Find sin
.
A.
-1
B.
C.
-
D.
1
Hint
14.
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 0.23 L
B.
about 0.17 L
C.
about 0.19 L
D.
about 0.15 L
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
= 7.
A.
6 units below equilibrium
B.
3 units above equilibrium
C.
3 units below equilibrium
D.
6 units above equilibrium
Hint
16.
State the vertical shift and the equation of the midline for
the function
y
= 3 cos
+ 4.
A.
-4;
y
= -4
B.
4;
y
= 4
C.
3;
y
= 3
D.
-3;
y
= -3
Hint