Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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MULTIPLE CHOICE.
Choose the one alternative that best completes the statement or answers the question.
Graph
the function. Show at least one period.
y =  cot
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2.
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Graph the sinusoidal
function using key points.
y = -4 sin - 2
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Numeric Response
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3.
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SHORT ANSWER. Write
the word or phrase that best completes each statement or answers the question.
Find the
length s. Round the answer to three decimal places.
1)
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4.
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Convert the angle in degrees
to radians. Express the answer as multiple of ð.
2)
-480°
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5.
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Convert the angle in radians
to degrees.
3)
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6.
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Solve the problem.
A circle has a radius of 7
centimeters. Find the area of the sector of the circle formed by an angle of  If
necessary, round the answer to two decimal places.
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7.
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Two sides of a right
triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given
angle. Give exact answers with rational denominators.
Find csc B when a = 7 and b = 4.
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8.
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Solve the problem.
Find
the exact value of each of the six trigonometric functions of the angle P.
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9.
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Use Fundamental Identities
and/or the Complementary Angle Theorem to find the exact value of the expression. Do not use a
calculator.
 70° +  70°
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10.
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tan 70° - 
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11.
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Use the definition or
identities to find the exact value of the indicated trigonometric function of the acute angle
è.
sec è =  Find csc è .
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12.
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Use Fundamental Identities
and/or the Complementary Angle Theorem to find the exact value of the expression. Do not use a
calculator.
 5° - 
85°
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13.
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Find the exact value of the
expression if è = 30°. Do not use a calculator.
f(è) = cos è Find  .
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14.
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Find the exact value of the
expression if è = 60°. Do not use a calculator.
f(è) = sin è Find
 .
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15.
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Find the exact value of the
expression. Do not use a calculator.
1 -  30° -  60°
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16.
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Solve the problem.
A twenty-five foot ladder just reaches the top of a
house and forms an angle of 41.5° with the wall of the house. How tall is the house? Round your
answer to the nearest 0.1 foot.
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17.
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A point on the terminal side
of angle è is given. Find
the exact value of the indicated trigonometric function.
(-3, -2) Find sec è.
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18.
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Use a coterminal angle to
find the exact value of the expression. Do not use a calculator.
sin 
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19.
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Use the reference angle to
find the exact value of the expression. Do not use a calculator.
cot
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20.
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Find the exact value of the
indicated trigonometric function of è.
sec è = 
, è in quadrant IV Find tan è .
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21.
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The point P on the circle
 +  =  that is also on the terminal side
of an angle è in standard position is given. Find the indicated
trigonometric function.
( -5, 4) Find cot è.
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22.
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Without graphing the
function, determine its amplitude and period.
y =  cos (-  x) Find the amplitude.
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Short Answer
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23.
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Write the equation of a sine
function that has the given characteristics.
Amplitude: 4
Period:
5ð
Phase Shift: 
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24.
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Find (i) the amplitude, (ii)
the period, and (iii) the phase shift.
y = -
 cos(2x - 2ð)
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