If ` cos theta+sin theta=sqrt(2)cos theta` then prove that `cos theta-sin theta=sqrt(2)sin theta`

If cos theta+sin theta=sqrt2 cos theta, show that cos theta-sin theta=sqrt2 sin theta .

If sin theta + cos theta theta = sqrt(2) cos theta then cos theta - sin theta is

Solve sin theta+cos theta=sqrt(2) cos A .

Prove the orthogonal matrices of order two are of the form [(cos theta,-sin theta),(sin theta,cos theta)] or [(cos theta,sin theta),(sin theta,-cos theta)]

Consider the cubic equation x^3-(1+cos theta+sin theta)x^2+(cos theta sin theta+cos theta+sin theta)x-sin theta. cos theta =0 Whose roots are x_1, x_2 and x_3