Question

prove that sinA+cosA=√2 cos(45°-A)​

Answer 1

Hiii

Required answer...

Multiplying and divide LHS √2

√2 (1/√2 sin A + 1/√2 cos A)

and sin 45 = cos 45 = 1/√2

=> √2 ( sin 45 sin A + cos 45 cos A)

=> √2 cos(45-A )

Hope it helps.

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