Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Use a sum or difference
identity to find the exact value.
sin 15°
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2.
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Use a sum or difference
identity to find the exact value.
tan 75°
a. |  -
2 | c. | -  -
2 | b. | -  +
2 | d. |  +
2 |
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3.
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Use a sum or difference
identity to find the exact value.
sin 255°
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4.
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Use a sum or difference
identity to find the exact value.
sin 
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5.
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Use a sum or difference
identity to find the exact value.
tan 105°
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6.
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Use a sum or difference
identity to find the exact value.
sin(-15°)
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7.
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Use a sum or difference
identity to find the exact value.
tan(- 15°)
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8.
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Use a sum or difference
identity to find the exact value.
sin 
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9.
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Use a sum or difference
identity to find the exact value.
tan 
a. | 2 -  | c. | - 2 +  | b. | 2 +  | d. | - 2 -  |
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10.
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Use a sum or difference
identity to find the exact value.
tan 345°
a. |  -
2 | c. | -  +
2 | b. | -  -
2 | d. |  +
2 |
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11.
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Use a sum or difference
identity to find the exact value.
sin 25° cos 35° + cos 25° sin
35°
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12.
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Use a sum or difference
identity to find the exact value.
sin 115° cos 55° - cos 115° sin
55°
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13.
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Use a sum or difference
identity to find the exact value.
sin 185° cos 65° - cos 185° sin
65°
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14.
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Use a sum or difference
identity to find the exact value.
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15.
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Use a sum or difference
identity to find the exact value.
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16.
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Use a sum or difference
identity to find the exact value.
sin 
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17.
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Use a sum or difference
identity to find the exact value.
tan 
a. | 2 +  | c. | -2 -  | b. | -2 +  | d. | 2 -  |
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18.
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Use a sum or difference
identity to find the exact value.
tan 
a. | -2 -  | c. | 2 +  | b. | 2 -  | d. | -2 +  |
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19.
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Use a sum or difference
identity to find the exact value.
sin  cos  - cos  sin 
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20.
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Use a sum or difference
identity to find the exact value.
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21.
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Find the exact value of the
expression using the provided information.
Find tan(s + t) given that sin s =  , with s in quadrant II, and
 with t in 
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22.
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Find the exact value of the
expression using the provided information.
Find tan(s + t) given that cos s =  , with s in quadrant I, and
 with t in 
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23.
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Find the exact value of the
expression using the provided information.
Find sin(s + t) given that cos s = -  , with s in quadrant II, and
 with t in 
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24.
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Find the exact value of the
expression using the provided information.
Find tan(s - t) given that cos s = -  , with s in quadrant II, and
 with t in 
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25.
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Find the exact value of the
expression using the provided information.
Find tan(s - t) given that sin s = -  , with s in quadrant IV, and
 with t in 
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26.
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Using a sum or difference
identity, write the following as an expression involving functions of x.
sin (x + 45°)
a. |  cos x -  sin x | c. | -cos
x | b. | sin
x | d. |  cos x + 
sin x |
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27.
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Using a sum or difference
identity, write the following as an expression involving functions of x.
sin 
a. | sin x | c. |  cos x + 
sin x | b. |  cos x -  sin
x | d. | -cos x |
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28.
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Using a sum or difference
identity, write the following as an expression involving functions of x.
tan (x +
ð)
a. |  | c. | tan
x | b. |  | d. | -tan
x |
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29.
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Using a sum or difference
identity, write the following as an expression involving functions of x.
tan 
a. | -tan x | c. | tan x | b. |  | d. |  |
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30.
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Using a sum or difference
identity, write the following as an expression involving functions of x.
tan (30° + x)
a. |  | c. |  | b. | -tan x | d. | tan
x |
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31.
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Two voltages,  = 80 sin( 110ðt) and 
are added in a circuit to produce the sum  Graph V in  by  and use the graph to estimate values for a
and k so that  Round k to the nearest ten-thousandth, if
necessary.
a. | a = 170; k =
169.317 | c. | a =
170; k = 373.5108 | b. | a = 17; k = 1.0808 | d. | a = 170; k =
1.0808 |
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32.
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Two low-frequency sound waves
with similar frequencies, producing the pressures  and 
combine to form a pressure P =  +  . The variable t is time
measured in seconds. Graph P in  by  and use the
graph to determine the frequency of the displayed beats.
a. | 7 beats per
second | c. | 3 beats per
second | b. | 10 beats per second | d. | 6 beats per second |
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