Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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a. | 1A, 2B, 3C,
4D | c. | 1A, 2D, 3C,
4B | b. | 1C, 2A, 3B,
4D | d. | 1B, 2D, 3C,
4A |
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2.
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a. | 1A, 2C, 3D,
4B | c. | 1A, 2D, 3C,
4B | b. | 1B, 2D, 3C,
4A | d. | 1A, 2B, 3C,
4D |
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3.
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1) y = sin  x 2) y =  cos
x
3) y = 
sin x 4) y = cos  x
A)
B)
C)
D)
a. | 1A, 2D, 3C,
4B | c. | 1A, 2B, 3C,
4D | b. | 1A, 2C, 3D,
4B | d. | 1B, 2D, 3C,
4A |
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4.
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y = sin  x
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5.
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y = cos  x
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6.
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y = -3 cos x
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7.
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y = -2 sin x
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8.
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9.
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10.
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y = -cos ðx
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11.
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y = sin ðx
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12.
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Amplitude of y = -3 sin
x
a. |  | c. | 2ð | b. | 3 | d. | -3ð |
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13.
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Amplitude of y = 2 sin
 x
a. | 2 | c. |  | b. | 6ð | d. |  |
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14.
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Amplitude of y = 4 cos
 x
a. | 6ð | c. |  | b. |  | d. | 4 |
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15.
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Period of y = sin
3x
a. | 1 | c. |  | b. | 3 | d. | 2ð |
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16.
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Period of y = cos
5x
a. | 1 | c. |  | b. | 5 | d. | 2ð |
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17.
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Period of y = 2 cos  x
a. | 2 | c. |  | b. |  | d. | 6ð |
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18.
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The function graphed is of
the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the
graph.
a. | y = 5 cos  | c. | y = 5 cos (
3x) | b. | y = 5 sin ( 3x) | d. | y = 5 sin  |
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19.
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The function graphed is of
the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the
graph.
a. | y = 5 sin  | c. | y = -5 sin (
2x) | b. | y = -5 sin  | d. | y = 5 cos  |
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20.
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The function graphed is of
the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the
graph.
a. | y = 5 cos  | c. | y = 5 cos (
2x) | b. | y = 5 sin  | d. | y = -5 cos ( 2x) |
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21.
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The function graphed is of
the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the
graph.
a. | y = -4 cos (
2x) | c. | y = 4 sin (
2x) | b. | y = -4 cos  | d. | y = 4 cos  |
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22.
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The function graphed is of
the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the
graph.
a. | y = 2 cos  | c. | y = 5 sin
 | b. | y = 5 cos ( 2x) | d. | y = 5 sin ( 2x) |
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23.
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The function graphed is of
the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the
graph.
a. | y = -4 sin (
3x) | c. | y = 4 cos  | b. | y = 4 sin ( 3x) | d. | y = -4 cos ( 3x) |
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24.
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The function graphed is of
the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the
graph.
a. | y = 4 sin (
3x) | c. | y = 3 sin  | b. | y = 4 cos  | d. | y = 4 cos ( 3x) |
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25.
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The function graphed is of
the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the
graph.
a. | y = -4 cos (
2x) | c. | y = -4 sin (
2x) | b. | y = 4 cos ( 2x) | d. | y = -4 cos  |
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26.
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The voltage E in an electrical circuit is given by
E = 5.7 cos 110ðt, where t is time measured in seconds. Find the
amplitude.
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27.
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The voltage E in an electrical circuit is given by
E = 1.7 cos 110ðt, where t is time measured in seconds. Find the frequency of
the function (that is, find the number of cycles or periods completed in one second).
a. |  | c. | 110 | b. | 55 | d. |  |
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28.
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The position of a weight attached to a spring is
s(t) = -7 cos 8ðt inches after t seconds. What is the maximum height
that the weight reaches above the equilibrium position and when does it first reach the maximum
height?
a. | The maximum height of 7 inches
is first reached after 4 seconds. | b. | The maximum height of 14 inches is first reached after 2
seconds. | c. | The maximum height of 7 inches is first reached after 0.13
seconds. | d. | The maximum height of 14 inches is first reached after 4
seconds. |
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29.
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The chart represents the amount
of fuel consumed by a machine used in manufacturing. The machine is turned on at the beginning of the
day, takes a certain amount of time to reach its full power (the point at which it uses the most fuel
per hour), runs for a certain number of hours, and is shut off at the end of the work day. The fuel
usage per hour of the machine is represented by a periodic function. When does the machine first
reach its full power?
a. | After 14
hours | c. | After 7
hours | b. | After 4 hours | d. | After 2 hours |
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30.
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For an electrical circuit, the voltage E is modeled
by E = 2.7cos 38ð t, where t is the time in seconds. How many cycles
are completed in one second?
a. | 2.7
cycles | c. | 19
cycles | b. | 38ð
cycles | d. | 38 cycles |
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31.
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A weight attached to a spring
is pulled down 4 inches below the equilibrium position. Assuming that the period of the system
is  second, determine a trigonometric model that
gives the position of the weight at time t seconds.
a. | y = 4cos 6ðt | c. | y = -4cos 6ðt | b. | y = 4cos  t | d. | y = -4cos
3ðt |
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