Question

(sin + cosϑ)² + (sinϑ-cosϑ)²​

Answer 1

Step-by-step explanation:

(sin©+cos©)^2 +(sin©-cos©)^2

=sin^2©+cos^2©+2sin©cos©+sin^2©+cos^2©-2sin©cos©

=sin^2©+cos^2©+sin^2©+cos^©

=2sin^2©+2cos^2©

=2(sin^2©+cos^2©)

=2(1)=2

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