Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find the exact value by
using a half-angle identity.
sin 22.5°
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2.
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Find the exact value by
using a half-angle identity.
cos 22.5°
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3.
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Find the exact value by
using a half-angle identity.
sin 75°
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4.
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Find the exact value by
using a half-angle identity.
cos 75°
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5.
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Find the exact value by
using a half-angle identity.
tan 75°
a. | -2 -  | c. | 2 +  | b. | -2 +  | d. | 2 -  |
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6.
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Find the exact value by
using a half-angle identity.
cos 
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7.
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Find the exact value by
using a half-angle identity.
cos 165°
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8.
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Find cos  ,
given that cos x =  and x terminates in 0 < x <  .
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9.
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Find cos  ,
given that sin è =  and è terminates in 0 < è <
90°.
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10.
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Find cos  ,
given that sec x = 4 and x terminates in 0 < x <  .
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11.
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Find sin  ,
given that sin è = -  and è terminates in 270° < è <
360°.
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12.
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Find tan  ,
given that tan x = -3 and x terminates in 90° < x < 180°.
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13.
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a. | sin
13° | c. | tan
13° | b. | cos 13° | d. | cot 13° |
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14.
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a. | sin
9° | c. | tan
9° | b. | cos 9° | d. | cot 9° |
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15.
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An airplane flying faster than
the speed of sound creates sound waves that form a cone. If è is the
vertex angle of the cone and m is the Mach number for the speed of the plane, then 
 Find the Mach number to the nearest tenth if
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16.
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Use the exact value cos
36° =  and identities to find the exact value
of sin 36°.
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