Given tantheta = 4/3 and pi < theta < 3pi/2; find cos2theta
2 answers:
Answer:
d. -7/25
Step-by-step explanation:
π<θ<3π/2 in third quadrant
tanθ = 4/3
sinθ = - 4/5
cosθ = - 3/5
cos 2θ = cos²θ - sin²θ = (- 3/5)² - (- 4/5)² = 9/25 - 16/25 = - 7/25
Answer:
-24/7
Step-by-step explanation:
We know that,
tan
2
θ
=
2
tan
θ
1
−
tan
2
θ
.
∴
tan
2
θ
=
2
⋅
3
4
1
−
9
16
=
3
2
⋅
16
7
=
24
7
.
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