If 90°< theta <180°; cos theta= -12/13, then find sin2theta.
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Answers
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Step-by-step explanation:
Explanation:
Here ,
90
∘
<
θ
<
180
∘
⇒
2
n
d
Q
u
a
d
r
a
n
t
⇒
sin
θ
>
0
We know that,
sin
2
θ
+
cos
2
θ
=
1
⇒
sin
2
θ
=
1
−
cos
2
θ
,
w
h
e
r
e
,
cos
θ
=
−
2
3
∴
sin
2
θ
=
1
−
(
−
2
3
)
2
=
1
−
4
9
=
5
9
⇒
sin
θ
=
√
5
9
...
→
[
∵
sin
θ
>
0
]
∴
sin
θ
=
√
5
3
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