Trigonometry Worksheet Page 21
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22%#
78. cos
&"
79. cos
%
80. sin
&
Determine the remaining five trigonometric function values in exact form, based on the given
information.
#
81. sin =
,
is in Quadrant 1.
&
$
82. sin =
,
is in Quadrant 1.
##
$
83. cos = −
,
is in Quadrant 2.
%
84. sin =
,
is in Quadrant 2.
##
%
85. tan =
,
is in Quadrant 3.
%
86. sin = −
,
is in Quadrant 3.
#%
&
87. sin = −
,
is in Quadrant 4.
88. tan = −5,
is in Quadrant 4.
Use your calculator to determine these trigonometric values to three decimal places. Note: most
calculators do not have specific keys for the cotangent, secant and cosecant.
89. cot 52°
90. cot 134°
91. csc 211°
92. csc 318°
93. sec 140°
94. sec 75°
#
95. If sin =
is in Quadrant 1, determine sin 2 and cos 2 .
and
#
96. If cos = −
is in Quadrant 2, determine sin 2 and cos 2 .
and
%
97. Use a sum-difference formula to prove sin 2 = 2 sin cos .
98. Use a sum-difference formula to prove that cos{2 { = cos
− sin
$
$
99. The Shift Identities are
cos
−
= sin
$
sin
+
= cos
$
Use the sum-difference formulas to prove these two identities.
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