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Express each of the following as the sum...

Express each of the following as the sum or difference of sines and cosines: `\ 2cos3thetasin2theta`

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`LHS=2(cos ((5pi)/12))``(cos((pi)/12)`
=cos`((5pi)/12+(pi)/12)`+cos`((5pi)/12-(pi)/12)`[:2cosAcosB=cos(A+B)cos(A-B)]
=cos`pi/2`+cos`pi/3`
=0+`1/2`
=`1/2`
RHS=`1/2`
Hence,LHS=RHS
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