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1.
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Find the quadrant in which the given angle
lies.
a. | Quadrant III | b. | Quadrant I | c. | Quadrant
IV | d. | Quadrant II | e. | None of the above |
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2.
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Find angle  in degree
measure.
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3.
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Convert the angle measure from degrees to radians.
Round to three decimal places.
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4.
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Use the Pythagorean Theorem to determine the third
side and then find the three trignometric functions of  :  ,  , and 
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5.
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Solve for y as indicated.
a. | y = 2.5 | b. | y = 5.5 | c. | y = 3.5 | d. | y = 6.5 | e. | y = 4.5 |
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6.
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 is related to a parent
function 
Describe the sequence of transformations from  to 
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7.
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 is related to a parent
function 
Use
function notation to write g in terms of f.
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8.
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Use a graphing utility to select the graph of the
function. Include two full periods.
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9.
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The daily consumption  (in gallons)
of diesel fuel on a farm is modeled by
where 
is the time (in days), with  corresponding to January 1.
What is the
average daily fuel consumption?
a. | 
gal. | b. | 
gal. | c. | 
gal. | d. | 
gal. | e. | 
gal. |
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10.
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Determine the period and amplitude of the following
function.
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11.
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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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12.
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An object weighing  pounds is
suspended from the ceiling by a steel spring (see figure). The weight is pulled downward (positive
direction) from its equilibrium position and released. The resulting motion of the weight is
described by the function
where  is the
distance (in feet) and  is the time (in seconds).
Use a graphing
utility to select the graph of the function.
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13.
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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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14.
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Evaluate the expression. Round your result to two
decimal places.
a. | 2.33 | b. | 0.33 | c. | 1.33 | d. | –0.67 | e. | 3.33 |
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15.
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Evaluate the expression. Round your result to two
decimal places.
a. | 0.60 | b. | 1.60 | c. | 4.60 | d. | 3.60 | e. | 2.60 |
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16.
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A security car with its spotlight on is parked  meters from a warehouse. Consider  and 
as shown in the figure. Write  as a function of x.
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17.
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Find the exact value of  .
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18.
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Which of the following functions is represented by
the graph below?
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19.
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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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20.
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A cellular telephone tower that is 150 feet tall is
placed on top of a mountain that is 1200 feet above sea level. What is the angle of depression from
the top of the tower to a cell phone user who is  horizontal miles away and
400 feet above sea level? Round your answer to two decimal places.
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