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1.
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Find angle  in radian
measure as a multiple of  .
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2.
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Find angle  in radian
measure as a multiple of  .
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3.
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Determine two coterminal angles (one positive and
one negative) for  .
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4.
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Evaluate the trigonometric function using its
period as an aid.
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5.
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Use the value of the trigonometric function to find
 .
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6.
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Use the value of the trigonometric function to find
 .
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7.
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Use a calculator to evaluate function given below.
Round your answer to four decimal places. (Be sure the calculator is in the correct angle
mode.)
a. | 
–1.4142 | b. | 
1.4765 | c. | 
1.3592 | d. | 
1.4142 | e. | 
1.0307 |
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8.
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Use a calculator to evaluate the trigonometric
function. Round your answer to four decimal places. (Be sure the calculator is set in the correct
angle mode.)
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9.
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A company that produces snowboards, which are
seasonal products, forecasts monthly sales over the next 2 years to be  , where S
is measured in thousands of units and t is the time in months, with 
representing January 2010. Predict sales for following month. Round your answer to three
decimal places.
June 2011
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10.
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Find the relationship between the graphs of  and  . Consider amplitude, period, and
shifts.
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11.
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Find the relationship between the graphs of  and  . Consider amplitude, period, and
shifts.
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12.
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Determine the period and amplitude of  .
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13.
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Find a, b, and c for the
function  such that the graph of 
matches the graph below.
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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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Determine whether the function is even, odd, or
neither.
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16.
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Use a graphing utility to graph the expression
below, making sure to show at least two periods.
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17.
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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). Round
your answer to two decimal places.
Find the height  of the balloon if the angle of elevation to the top of the balloon is  .
a. | 
ft
| b. |  ft
| c. |  ft
| d. | 
ft | e. | 
ft |
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18.
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An observer in a lighthouse 
feet above sea level observes two ships directly offshore.
The angles of depression to the ships
are  and  (see figure).
How far apart are the ships? Round your answer to one decimal place.
a. | 
ft | b. | 
ft | c. | 
ft | d. | 
ft | e. | 
ft |
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19.
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A police department has set up a speed enforcement
zone on a straight length of highway. A patrol car is parked parallel to the zone, 
feet from one end and  feet from the other end (see
figure).
Find the length l of the zone.
Round your answer to two decimal places.
a. | 
ft | b. | 
ft | c. | 
ft | d. | 
ft | e. | 
ft |
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20.
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Find the altitude of the isosceles triangle shown
below if  and  . Round answer to two
decimal places.
a. | 1.82  | b. | 6.88  | c. | 3.44  | d. | 2.02  | e. | 1.27  |
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