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Question

Prove that:
sin 36° sin 72° sin 108° sin 144°=516

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Solution

LHS=sin36sin72sin108sin144 =sin36sin72sin72sin36 sin144=sin180-36=sin36 and sin108=sin180-72=sin72 =sin36sin722 =10-254×10+2542 =100-2042 =45162 =516 =RHS

Hence proved.

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