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Slav-nsk [51]
3 years ago
13

Find the exact value of sin theta/12

Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

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:

thier is your anwer for your work let me know if it right in rate me the most brainlest

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