Trigonometry Worksheet Page 20
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52. State the complement and supplement to
in radian measure.
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53. How many degrees is 1 radian?
54. An angle has a radian measure of 4 radians. Which quadrant is this angle located in?
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55. An angle sweeps out 1/10
of a circle in the positive direction. What is this angle’s radian
measure?
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56. An angle sweeps out 2/5
of a circle in the positive direction. What is this angle’s radian
measure?
In the following problems, a ray is drawn at the given angle, intersecting the unit circle at point P. State
P’s coordinates and the ray’s slope. Use a calculator and state your answers to three decimal places.
57. 38°
58. 71°
59. 124°
60. 176°
61. 201°
62. 266°
63. 292°
64. 344°
Use the Pythagorean Identity, quadrants and symmetry to answer the following questions. State your
answers to three decimal places.
65. If sin = 0.215 and
is in Quadrant 1, find cos and tan .
66. If sin = 0.702 and
is in Quadrant 1, find cos and tan .
67. If cos = −0.386 and
is in Quadrant 2, find sin and tan
68. If cos = −0.445 and
is in Quadrant 2, find sin and tan
69. If sin = −0.095 and
is in Quadrant 3, find cos and tan
70. If cos = −0.166 and
is in Quadrant 3, find sin and tan
71. If cos = 0.521 and
is in Quadrant 4, find sin and tan
72. If sin = −0.861 and
is in Quadrant 4, find cos and tan
Use reference angles and symmetry to answer the following questions in exact form.
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73. sin
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74. sin
&
75. cos
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76. cos
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77. sin
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