prove that sin^2(30°+ A)- Sin^2(30°-A)=root3/2 sin2A
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Step-by-step explanation:
sin^2(30°+ A)- Sin^2(30°-A)
{sin(30+A) +sin(30-A)} {sin(30+A -sin(30-A)}
=2sin30cosA*2co30sinA
=4*1/2*√3/2 sinAcosA
=√3/2*2sinAcosA
=√3/2 sin2A=RHS
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