The value of 16 sin 44° sin 108° sin 72° sin36° is equal to

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answer is 5.

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Detailed Solution

We have,16sin⁡144∘sin⁡108∘sin⁡72∘sin⁡36∘=16sin⁡36∘cos⁡18∘cos⁡18∘sin⁡36∘=16cos2⁡18∘sin2⁡36∘=16sin⁡36∘cos⁡18∘2=1610−254×10+2542=5

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