Question

alguém resolve? urgente!

Answer 1

$(\sin x+\cos x)^2+(\sin x-\cos x)^2=\\\\\sin^2x+2\sin x\cos x+\cos^2x+\sin^2x-2\sin x\cos x+\cos^2x=\\\\2\sin^2 x+2\cos^2x=\\\\2(\sin^2x+\cos^2x)=\\\\2(1)=2$