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If x=sin(theta+(7pi)/(12))+sin(theta+pi/...

If `x=sin(theta+(7pi)/(12))+sin(theta+pi/(12))+sin(theta+(3pi)/(12))dot` `Y=cos(theta+(7pi)/(12))+cos(theta+pi/(12))+cos(theta+(3pi)/(12))dot` then prove that `X/Y-Y/X=2tan2theta`

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