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Prove that sin(A+B+C)=sinAcosBcosC+cosAs...

Prove that `sin(A+B+C)=sinAcosBcosC+cosAsinBcosC+cosAcosBsinC-sinAsinBsinC` `cos(A+B+C)=cosAcosBcosC-cosAsinBsinC-sinAcosBsinC-sinAsinBcosC`

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