Sin^2(pie/8+x/2)-sin^2(pie/8-x/2)=1/root2sinx
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Step-by-step explanation:
L.H.S.=Sin(π/8+x/2+π/8-x/2)sin(π/8+x/2-π/8+x/2)
=sin(π/4)sin(x)
=1/√2.sinx=R.H.S.
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