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If costheta+sintheta=sqrt(2)costheta, sh...

If `costheta+sintheta=sqrt(2)costheta,` show that `costheta-sintheta=sqrt(2)sintheta`

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We have,

`cos theta+sin theta=sqrt{2} cos theta`

Squaring both side,

`(cos theta+sin theta)^{2}=2 cos ^{2} theta`

`Rightarrow cos ^{2} theta+sin ^{2} theta+2 sin theta cdot cos theta=2 cos ^{2} theta`

...
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