Find the exact value of sin theta/12

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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