Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find (if possible) the complement and supplement of
the angle.
a. | Complement: 
Supplement: Not
possible | b. | Complement: Not possible
Supplement:  | c. | Complement: 
Supplement:  | d. | Complement: Not possible
Supplement: Not
possible | e. | Complement:
Supplement:  |
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2.
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Find the length of the arc on a circle of radius
r intercepted by a central angle  . (Use  ). Round your
answers to three decimal places.
a. |  1.910
in | b. |  5.729
in | c. | 
in | d. |  56.556
in | e. | 6 18.852
in |
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3.
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Evaluate each function. Round your answers to four
decimal places.
 and 
a. | 1.1834 and 0.9323 | b. | 1.3334 and 1.0823 | c. | 1.1334 and
0.8823 | d. | 1.2334 and 0.9823 | e. | 1.2834 and 1.0323 |
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4.
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Evaluate each function. Round your answers to four
decimal places.
 and 
a. | 1.1884 and 0.1438 | b. | 1.2884 and 0.2438 | c. | 1.3384 and
0.2938 | d. | 1.2384 and 0.1938 | e. | 1.3884 and 0.3438 |
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5.
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Use the given function value(s), and trigonometric
identities (including the cofunction identities), to find the indicated trigonometric
functions.
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6.
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Find the values of  in degrees
 and radians  without the
aid of a calculator.
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7.
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A 10-meter line is used to tether a helium-filled
balloon. Because of a breeze, the line makes an angle of approximately  with the
ground. What is the height of the balloon? (Round the answer to one decimal place.)
a. | 11.1 m | b. |  m | c. | 9.1 m | d. | 15.1
m | e. | 13.1 m |
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8.
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Use a graphing utility to complete the
table.
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9.
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Determine the exact values of the three
trigonometric functions csc, sec, and cot of the angle  .
where 
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10.
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The displacement from equilibrium of an oscillating
weight suspended by a spring is given by
 , where y is the
displacement in centimeters and t is the time in seconds (see figure). Find the displacement
when  .(Round your answers to two decimal
places.)
a. | 1.38 cm | b. | 1.28 cm | c. | 1.08
cm | d. | 1.48 cm | e. | 1.58 cm |
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11.
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Evaluate the trigonometric function. Round your
answer to four decimal places.
a. | 0.2735 | b. | –0.7265 | c. | –0.2265 | d. | 2.2735 | e. | 1.2735 |
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12.
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The point  is on the
terminal side of an angle in standard position. Determine the exact value of  .
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13.
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Determine the exact value of  .
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14.
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Select the graph of the function. Include two full
periods.
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15.
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Evaluate the expression. Round your result to two
decimal places.
a. | 3.53 | b. | 0.53 | c. | 1.53 | d. | 2.53 | e. | –0.47 |
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16.
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Evaluate the expression. Round your result to two
decimal places.
a. | 1.86 | b. | –2.14 | c. | –1.14 | d. | 0.86 | e. | –0.14 |
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17.
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Use the properties of inverse trigonometric
functions to evaluate  .
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18.
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The length of a shadow of a tree is 
feet when the angle of elevation of the sun is  . Approximate the height of
the tree. Approximate the answer to one decimal place.
a. | 
ft | b. | 
ft | c. | 
ft | d. | 
ft | e. | 
ft |
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19.
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You are holding one of the tethers attached to the
top of a giant character balloon in a parade. Before the start of the parade the balloon is upright
and the bottom is floating approximately 20 feet above ground level. You are standing approximately
 feet ahead of the balloon (see
figure).
Find an expression for the angle of
elevation from you to the top of the balloon.
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20.
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Determine whether the statement is true or false.
The Leaning Tower of Pisa is not vertical, but if you know the angle of elevation  to the top of the tower when you stand  feet away from it, you can
find its height  using the formula
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