Question

if sinx+cosx=root2sinx then what is sinx-cosx

Answer 1

Answer:

hey mate,

here is ur answer,

Given,

cos x + sinx = √ 2 cos x , then (√2 -1 ) cos  x = sin x

on multiplying both sides by (√2+1) , we get

(√2+1)(√2-1) cos x  =  (√2+ 1) sin x

⇒ cos x = √2 sin x + sin x

⇒ cos x -sin x = √ 2 sin x

Answer 2

Answer:

Hope it helps you.

Thanks