Question

How do you simplify `(sin x + cos x)^2 + (sin x – cos x )^2`?

Answer 1

See below

Explanation:

`=sin^2x+2sinxcosx+cos^2x+sin^2x-2sinxcosx+cos^2x)`

`=2sin^2x+2cos^2x`

`=2(sin^2x+cos^2x)`

`=2 * 1`

`=2`