You can put this solution on YOUR website! prove the given identities
sin θ/2 cos θ/2 = sin θ/2
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I believe given identity was meant to be written as follows:
sin (x/2)Cos (x/2)=(sin x)/2
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start with left side
sqrt[(1-cosx)/2]*sqrt[(1+cosx)/2]
sqrt[(1-cos^2x)/4]=sqrt[sin^2x/4]=(sin x)/2
proof: left side=right side