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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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Given,
`=>costheta+sintheta=sqrt2costheta`
squaring both sides,
`=>cos^2theta+sin^2theta+2sinthetacostheta=2cos^2theta`
`=>cos^2theta−sin^2theta=2costhetasintheta` ...
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