Question

Cos theta + sin theta is equal to root 2 cos theta then what will be the value of cos theta minus sin theta

Answer 1

Answer:

Step-by-step explanation:

cos+sin = root2

cos-sin = ?

S.O.B

(cos+sin)^2 = (root 2)^2

cos2+sin2+2*sin*cos = 2

2*cos*sin = 2-1

cos*sin = 1/2

(cos-sin)^2 = (cos +sin)^2 - 4*sin*cos

                  = (root 2)^2 - 4(1/2)

                  = 2-2

     cos-sin = 0