Prove that SinAsin (60°-A)sin (60°+A)=1/4sin3A
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LHS=sinA(sin60-A)sin(60+A)
=sinA[sin^2(60)-sin^2(A)]
=sinA[3/4-sin^2(A)]
=3sinA/4-sin^3(A)= 1/4[3sinA-4sin^3(A)]
=1/4[sin3(A)]=RHS
oh and btw sin^2 means sine squared and sin^3 means sine cubed
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=sinA[sin^2(60)-sin^2(A)]
=sinA[3/4-sin^2(A)]
=3sinA/4-sin^3(A)= 1/4[3sinA-4sin^3(A)]
=1/4[sin3(A)]=RHS
oh and btw sin^2 means sine squared and sin^3 means sine cubed
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