English, asked by 11c011, 8 months ago

sin+sin3+sin5÷

cos+cos 3+cos 5

= tan 3​

Answers

Answered by elabiswaspiu1985
1

Answer:

Explanation:

We have,

sin

θ

+

sin

3

θ

+

sin

5

θ

+

sin

7

θ

cos

θ

+

cos

3

θ

+

cos

5

θ

+

cos

7

θ

,

=

(

sin

7

θ

+

sin

θ

)

+

(

sin

5

θ

+

sin

3

θ

)

(

cos

7

θ

+

cos

θ

)

+

(

cos

5

θ

+

cos

3

θ

)

,

=

(

2

sin

4

θ

cos

3

θ

)

+

(

2

sin

4

θ

cos

θ

)

(

2

cos

4

θ

cos

3

θ

)

+

(

2

cos

4

θ

cos

θ

)

,

=

2

sin

4

θ

(

cos

3

θ

+

cos

θ

)

2

cos

4

θ

(

cos

3

θ

+

cos

θ

)

,

=

sin

4

θ

cos

4

θ

,

=

tan

4

θ

.

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