Part II: The Answers
170
Answers
101–200
Use the third quadrant of the unit circle. Note that because the angle θ
π
= −2
3
touches the unit circle in the same place as the angle θ
π
= 4
3
, you have the following:
sin
cos
tan
sin
cos
θ
θ
θ
θ
θ
= −
= −
=
=
−
−
=
3
2
1
2
3 2
1 2
3
123.
sinθ = − 2
2
; cosθ = − 2
2
; tanθ = 1
Use the third quadrant of the unit circle. The angle −
°= −
135
3
4
π rad touches the unit
circle in the same place as the angle 5
4
π , so you have the following:
sin
cos
tan
sin
cos
θ
θ
θ
θ
θ
= −
= −
=
=
−
−
=
2
2
2
2
2 2
2 2
1
124.
sinθ = 0; cosθ = −1; tanθ = 0
Because the angle θ =
°
180 intersects the unit circle at the point (–1, 0), you have the
following:
sin
cos
tan
sin
cos
θ
θ
θ
θ
θ
=
= −
=
= −
=
0
1
0
1
0