Math, asked by Swadhinthegamer15, 11 months ago

see this picture........​

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Answers

Answered by ABHI123455
0

Answer:

Step-by-step explanation:

The standard formula for

sin

(

A

+

B

)

is:

sin

(

A

+

B

)

=

sin

(

A

)

cos

(

B

)

+

cos

(

A

)

sin

(

B

)

Now

sin

(

B

)

=

sin

(

B

)

and

cos

(

B

)

=

cos

(

B

)

, so

sin

(

A

B

)

=

sin

(

A

)

cos

(

B

)

cos

(

A

)

sin

(

B

)

So:

sin

(

A

+

B

)

sin

(

A

B

)

=

(

sin

A

cos

B

+

cos

A

sin

B

)

(

sin

A

cos

B

cos

A

sin

B

)

=

(

sin

A

cos

B

)

2

(

cos

A

sin

B

)

2

...using the identity

(

p

+

q

)

(

p

q

)

=

p

2

q

2

.

=

sin

2

A

cos

2

B

sin

2

B

cos

2

A

=

sin

2

A

(

1

sin

2

B

)

sin

2

B

(

1

sin

2

A

)

...using

sin

2

θ

+

cos

2

θ

=

1

(Pythagoras)

=

sin

2

A

sin

2

B

sin

2

A

sin

2

B

+

sin

2

B

sin

2

A

=

sin

2

A

sin

2

B

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