'If `acostheta+bsintheta=m` and `asintheta-bcostheta=n` , prove that `a^2+b^2=m^2+n^2`'

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"If `acostheta+bsintheta=m`
and `asintheta-bcostheta=n`
, prove

that `a^2+b^2=m^2+n^2`"
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