Question

How do you simplify `(cosx + sinx)^2`?

Answer 1

1 + sin 2x

Explanation:

Use trig identities:
`sin^2 x + cos^2 x = 1`
sin 2x = 2sin x.cos x

`(cos x + sin x)^2 = cos^2 x + sin ^2 x + 2sin x.cos x = 1 + sin 2x`