Question

Prove that
1 +sin 2x = (Cos x + Sin x )^2​

Answer 1

Answer:

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Answer 2

Given Question :-

Prove that

$:\implies \tt \: 1 + sin2x = {(cosx + sinx)}^{2}$

Consider RHS

$:\implies \tt \: {(cosx + sinx)}^{2}$

$:\implies \tt \: {cos}^{2} x + {sin}^{2}x + 2sinxcosx$

$:\implies \tt \: 1 + sin2x$

$\large{\boxed{\boxed{\bf{Hence, Proved}}}}$