Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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Use fundamental identities to simplify the
expression below and then determine which of the following is not equivalent.
![mc001-1.jpg](chapter_5_post_test_files/mc001-1.jpg)
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2.
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Factor; then use fundamental identities to simplify
the expression below and determine which of the following is not equivalent.
![mc002-1.jpg](chapter_5_post_test_files/mc002-1.jpg)
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3.
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Factor; then use fundamental identities to simplify
the expression below and determine which of the following is not equivalent.
![mc003-1.jpg](chapter_5_post_test_files/mc003-1.jpg)
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4.
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Which of the following is equivalent to the given
expression?
![mc004-1.jpg](chapter_5_post_test_files/mc004-1.jpg)
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5.
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If , use trigonometric
substitution to write as a trigonometric function of q, where .
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6.
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Solve the following equation.
![mc006-1.jpg](chapter_5_post_test_files/mc006-1.jpg)
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7.
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Solve the following equation.
![mc007-1.jpg](chapter_5_post_test_files/mc007-1.jpg)
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8.
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Solve the following equation.
![mc008-1.jpg](chapter_5_post_test_files/mc008-1.jpg)
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9.
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Solve the multiple-angle equation.
![mc009-1.jpg](chapter_5_post_test_files/mc009-1.jpg)
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10.
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Use the Quadratic Formula to solve the given
equation on the interval ; then use a graphing utility to approximate
the angle x. Round answers to three decimal places.
![mc010-2.jpg](chapter_5_post_test_files/mc010-2.jpg)
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11.
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Use inverse functions where needed to find all
solutions (if they exist) of the given equation on the interval .
![mc011-2.jpg](chapter_5_post_test_files/mc011-2.jpg)
a. | ![mc011-3.jpg](chapter_5_post_test_files/mc011-3.jpg) | b. | ![mc011-4.jpg](chapter_5_post_test_files/mc011-4.jpg) | c. | ![mc011-5.jpg](chapter_5_post_test_files/mc011-5.jpg) | d. | ![mc011-6.jpg](chapter_5_post_test_files/mc011-6.jpg) | e. | solution does not exist |
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12.
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Find the exact value of the given
expression.
![mc012-1.jpg](chapter_5_post_test_files/mc012-1.jpg)
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13.
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Find the exact value of the given expression using
a sum or difference formula.
![mc013-1.jpg](chapter_5_post_test_files/mc013-1.jpg)
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14.
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Find the exact value of the given expression using
a sum or difference formula.
![mc014-1.jpg](chapter_5_post_test_files/mc014-1.jpg)
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15.
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Write the given expression as the sine of an
angle.
![mc015-1.jpg](chapter_5_post_test_files/mc015-1.jpg)
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16.
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Find the exact value of given that
and . (Both
u and v are in Quadrant II.)
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17.
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Find the exact value of given that
and . (Both
u and v are in Quadrant II.)
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18.
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Find the exact solutions of the given equation in
the interval .
![mc018-2.jpg](chapter_5_post_test_files/mc018-2.jpg)
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19.
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Use a double-angle formula to find the exact value
of when .
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20.
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Use the figure below to find the exact value of the
given trigonometric expression.
![mc020-1.jpg](chapter_5_post_test_files/mc020-1.jpg)
![mc020-2.jpg](chapter_5_post_test_files/mc020-2.jpg)
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