सिद्ध कीजिए कि \[ \sin ^{2} A+\sin ^{2}\left(60^{\circ}+A\right)+\sin ^{2}\left(A-60^{\circ}\rig...

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सिद्ध कीजिए कि
\[
\sin ^{2} A+\sin ^{2}\left(60^{\circ}+A\right)+\sin ^{2}\left(A-60^{\circ}\right)=\frac{3}{2}
\]
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