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 reference angle for
the given angle. 39°
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2.
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Find the reference angle for
the given angle. 129°
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3.
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Find the reference angle for
the given angle. 236.6°
a. | 33.4° | c. | 146.6° | b. | 123.4° | d. | 56.6° |
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4.
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Find the reference angle for
the given angle. -7.5°
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5.
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Find the reference angle for
the given angle. 388°
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6.
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Find the reference angle for
the given angle. -403°
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7.
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Find the exact value of the
expression. sin 30°
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8.
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Find the exact value of the
expression. cot 60°
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9.
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Find the exact value of the
expression. cos 45°
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10.
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Find the exact value of the
expression. cos 210°
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11.
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Find the exact value of the
expression. tan 300°
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12.
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Find the exact value of the
expression. cot 120°
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13.
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Find the exact value of the
expression. sec 240°
a. | 2 | c. | | b. | - | d. | -2 |
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14.
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Find the exact value of the
expression. sec 150°
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15.
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Find the exact value of the
expression. csc 240°
a. | - | c. | 2 | b. | -2 | d. | |
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16.
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Find the exact value of the
expression. csc 330°
a. | -2 | c. | | b. | - | d. | 2 |
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17.
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csc
840°
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18.
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Find the exact value of the
expression. csc ( -2460°)
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19.
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Find the exact value of the
expression. sec 3105°
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20.
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Find the exact value of the
expression. sec ( -1215°)
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21.
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Find the exact value of the
expression. tan 2130°
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22.
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Find the exact value of the
expression. cot ( -1575°)
a. | | c. | 1 | b. | | d. | -1 |
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23.
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Find the exact value of the
expression. sin ( -2040°)
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24.
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Find the exact value of the
expression. sin 2835°
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25.
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Find the exact value of the
expression. cos 840°
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26.
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Find the exact value of the
expression. cos ( -390°)
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27.
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45° + 45°
a. | 2 | c. | 0 | b. | 1 | d. | |
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28.
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29.
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30.
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31.
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45° + sin 150° + 4 45°
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32.
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a. | | c. | 4 | b. | | d. | 0 |
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33.
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34.
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cos 30° + cos
45° = cos 75°
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35.
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cos( 30°+ 45°)
= cos 30° · cos 45° - sin 30° · sin
45°
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36.
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cos 60° = 1 - 2 30°
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37.
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cos 300° = 1 - 150°
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38.
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cos 60° =
cos 180° - cos 120°
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39.
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cos 135° =
cos 225° cos 90° + sin 225° sin
90°
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40.
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cos 195° = 2
cos 225° cos 30° + 2 sin 225° sin
30°
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41.
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sin 60° = 2
sin 30°
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42.
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sin 120° = 2
sin 60° cos 60°
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43.
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sin 390° =
sin 120° cos 270° + cos 120° sin
270°
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44.
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tan ,
given that è is in the interval (90°, 180°).
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45.
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sin ,
given that è is in the interval (180°, 270°).
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46.
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cos (è + 180°), given that è is in
the interval (90°, 180°).
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47.
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cot (è + 180°), given that è is in
the interval (270°, 360°).
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48.
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csc (-è), given that è is in the interval
(90°, 180°).
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49.
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sec (-è), given that è is in the interval
(180°, 270°).
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50.
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Find all values of
è, if è is in the
interval [0, 360°) and has the given function value.cos è =
a. | 150° and
210° | c. | 210° and
330° | b. | 60° and 300° | d. | 60° and 120° |
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51.
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Find all values of
è, if è is in the
interval [0, 360°) and has the given function value.sin è =
a. | 60° and
300° | c. | 150° and
210° | b. | 60° and 120° | d. | 210° and 330° |
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52.
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Find all values of
è, if è is in the
interval [0, 360°) and has the given function value. sin è = -
a. | 60° and
300° | c. | 60° and
120° | b. | 150° and 210° | d. | 210° and 330° |
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53.
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Find all values of
è, if è is in the
interval [0, 360°) and has the given function value. cos è = -
a. | 210° and
330° | c. | 60° and
120° | b. | 60° and 300° | d. | 150° and 210° |
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54.
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Find all values of
è, if è is in the
interval [0, 360°) and has the given function value. sec è is
undefined
a. | 90° and
270° | c. | 0° and
180° | b. | 90° | d. | 0° |
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55.
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Find all values of
è, if è is in the
interval [0, 360°) and has the given function value. cos è =
a. | 135° and
225° | c. | 45° and
225° | b. | 30° and 330° | d. | 225° and 315° |
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56.
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Find all values of
è, if è is in the
interval [0, 360°) and has the given function value .sec è = -
a. | 135° and
225° | c. | 225° and
315° | b. | 45° and 315° | d. | 45° and 225° |
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57.
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Find all values of
è, if è is in the
interval [0, 360°) and has the given function value. sin è = -
a. | 45° and
315° | c. | 225° and
315° | b. | 45° and 225° | d. | 135° and 225° |
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58.
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Find all values of
è, if è is in the
interval [0, 360°) and has the given function value. tan è =
1
a. | 45° and
225° | c. | 45° and
315° | b. | 135° and 225° | d. | 225° and 315° |
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59.
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Find all values of
è, if è is in the
interval [0, 360°) and has the given function value. cot è =
1
a. | 225° and
315° | c. | 45° and
315° | b. | 45° and 225° | d. | 135° and 225° |
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