Question

If cos x - sin x = √2 sin x , then cos x + sin x =
a) √2 cosec x b) √2 sec x
c) √2 cos x d) √2 tan x​

Answer 1

option. c is the right answer

Answer 2

Answer:

(C) => √2cosx

Step-by-step explanation:

cos x - sin x = √2 sin x

=> cosx =  (√2+1) sinx

//multiply by √2 - 1 on both sides

=> (√2 - 1) cosx = (√2 - 1)(√2 + 1) (sinx

=> (√2 - 1) cosx = (2 -1 ) sinx

=> √2cosx - cosx = sinx

=> sinx + cosx = √2cosx