Question

If cosx + sinx = sqrt2 cosx then prove that cosx-sinx =sqrrt2 sinx

Answer 1

Cosx+sinx=√2 cosx

Sin x= √2 cosx-cosx

Sinx= cosx(√2-1)

Sinx= cos x (√2-1)× (√2+1)/(√2+1) (rationalisation)

(√2+1) Sinx= COS x (2-1)

√2 sinx + sin x= cosx

Cos x - sinx= √2 sinx
Proved

Hope it helps...

Answer 2

HERE IS YOUR ANSWER