Answer:sin
2
θ
=
−
120
169
and
cos
2
θ
=
−
119
169
Explanation:
As
sin
θ
=
−
12
13
i.e. negative and
cos
θ
is positive,
θ
lies in
Q
4
i.e.
3
π
2
<
θ
<
2
π
cos
θ
=
√
1
−
(
−
12
13
)
2
−
√
1
−
144
169
=
√
25
169
=
5
13
Hence,
sin
2
θ
=
2
sin
θ
cos
θ
=
2
×
(
−
12
13
)
×
5
13
=
−
120
169
and
cos
2
θ
=
cos
θ
−
sin
2
θ
=
25
169
−
144
169
=
−
119
169
Step-by-step explanation:
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