Prove that:

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Multiply and divide by
, we get

But 2sin A cos A = sin 2A
Then the above equation becomes,

Multiply and divide by 2, we get

But 2sin A cos A = sin 2A
Then the above equation becomes,

Multiply and divide by 2, we get

But 2sin A cos A = sin 2A
Then the above equation becomes,

Multiply and divide by 2, we get

But 2sin A cos B = sin (A+B) +sin(A–B), so the above equation becomes,




Multiply and divide by
, we get

But 2sin A cos A = sin 2A
Then the above equation becomes,

Multiply and divide by 2, we get

But 2sin A cos A = sin 2A
Then the above equation becomes,





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Hence proved