Part II: The Answers
168
Answers
101–200
117.
3
4
π
Because θ is in Quadrant II and the angle is measured counterclockwise, you
have π θ π
2
≤ ≤ . Therefore, 3
4
π is the most appropriate choice.
118.
− 2
3
π
Because θ is in Quadrant III and the angle is measured clockwise, you have
− ≤ ≤ −
π θ
π
2
. Therefore, − 2
3
π is the most appropriate choice.
119.
11
6
π
Because θ is in Quadrant IV and the angle is measured counterclockwise, you
have 3
2
2
π θ
π
≤ ≤ . Therefore, 11
6
π is the most appropriate choice.
120.
sinθ = 2
2
; cosθ = 2
2
; tanθ = 1
The given angle measure is θ π
= 4
. Using the first quadrant of the unit circle, you have
the following:
sin
cos
tan
sin
cos
θ
θ
θ
θ
θ
=
=
=
=
=
2
2
2
2
2 2
2 2
1