1.
Change -120° to radian measure in terms of
.
A.
-
B.
-
C.
D.
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 14.6 in.
B.
about 20.1 in.
C.
about 10.1 in.
D.
about 18.2 in.
Hint
3.
Determine the angular displacement in radians of 11.3 revolutions. Round to the nearest tenth.
A.
35.5 radians
B.
3.6 radians
C.
71.0 radians
D.
1.8 radians
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 16.1 mph
C.
about 13.7 mph
D.
about 19.5 mph
Hint
5.
Determine if the function is periodic. If so, state the period.
A.
no
B.
yes; 2
C.
yes; 1
D.
yes; 4
Hint
6.
Which is not a true statement about the properties of the graph of
y
= sin
x
?
A.
The range is the set of real numbers between -1 and 1, inclusive.
B.
The
y
-intercept is 0.
C.
The domain is the set of real numbers
D.
The period is
.
Hint
7.
State the period for the function
.
A.
2
B.
4
C.
16
D.
8
Hint
8.
State the amplitude and period for the function
y
= -3 sin 3
.
A.
3;
B.
-3;
C.
3;
D.
-3;
Hint
9.
State the amplitude, period, phase shift, and vertical shift for
A.
B.
C.
D.
Hint
10.
Find the value of csc
by referring to the graph of the cosecant function.
A.
-1
B.
0
C.
undefined
D.
1
Hint
11.
Find the period of the function
y
= csc
- 5.
A.
B.
C.
8
D.
4
Hint
12.
Find Cos
-1
.
A.
1
B.
C.
-1
D.
0
Hint
13.
Find cos (Tan
-1
1 - Sin
-1
1).
A.
B.
-
C.
-
D.
Hint
14.
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.
6 units below equilibrium
B.
6 units above equilibrium
C.
0.5 unit above equilibrium
D.
equilibrium
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.
3;
y
= 3
C.
-3;
y
= -3
D.
-4;
y
= -4
Hint