18 Part I: The Questions
107. Given tanθ = − 8
5
, where sinθ > 0 and
cosθ < 0, find sin 2θ
( ).
108. Given cotθ −
= 9
2
, where sinθ < 0, find
cos 2θ
( ).
Converting Degree Measure
to Radian Measure
109–112 Convert the given degree measure to
radian measure.
109. 135°
110. –280°
111. 36°
112. –315°
Basic Trigonometry
103–104 Evaluate sinθ , cosθ , and tanθ for the
given right triangle. Remember to rationalize
denominators that contain radicals.
103.
104.
105–108 Evaluate the trig function. Remember to
rationalize denominators that contain radicals.
105. Given sinθ = 3
7
, where π θ π
2
< < , find cotθ .
106. Given cosθ = 3
4
, where 3
2
2
π θ
π
< < , find cscθ .