If cos+sin=√2cos then prove that cos-sin=√2sin ?

1.	If cos+sin=√2cos then prove that cos-sin=√2sin ?
Answer» Let θ\xa0= xcos x + sin x = √2 cos xsquaring on both side, we get......cos2x + sin2x + 2cosxsinx = 2cos2x2sinxcosx = 2cos2x - cos2x - sin2x2sinxcosx = cos2x - sin2x2sinxcosx = (cosx+sinx) (cosx - sinx)2sinxcosx = (root2 cosx) (cosx - sinx)2sinxcosx/root2 cosx = cosx - sinx\xa0√2\xa0sinx = cosx - sinx Hey, scroll down ek aisa hi question ka answer dia hai maine

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