Question

prove
(sin x +cos x)^2= 1+sin 2x​

Answer 1

Answer:

L.H.S

(sinx+cosx)²

Sin²x+cos²x+2sinxcosx

1+2sinxcosx (sin²x + cos²x=1)

1+sin2x (sin2x=2sinxcosx)

=R.H.S

hence proved