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If cos theta+sin theta=sqrt(2) cos theta...

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

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We have .cos theta+sin theta=sqrt(2) cos theta , . sin theta=(sqrt(2)-1) cos theta.
.rarr cos theta=(sin theta)/(sqrt(2)-1)=(1)/(sqrt(2)-1) xx (sqrt(2)+1)/(sqrt(2)+1) sin theta rarr cos theta=(sqrt(2)+1) sin theta.
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