A geometry problem by Pranay Garg

Geometry Level pending

Find

cos ⁡ 5 ∘ ∗ cos ⁡ 1 0 ∘ ∗ cos ⁡ 1 5 ∘ ∗ cos ⁡ 2 0 ∘ ∗ cos ⁡ 2 5 ∘ ∗ cos ⁡ 3 0 ∘ ∗ ⋯ ∗ cos ⁡ 8 5 ∘ ∗ cos ⁡ 9 0 ∘ \cos 5^{\circ} * \cos 10^{\circ} * \cos 15^{\circ} * \cos 20^{\circ} * \cos 25^{\circ} * \cos 30^{\circ} *\cdots * \cos 85^{\circ} * \cos 90^{\circ} .

0 2 5 1

Pranay Garg by Pranay Garg , 21, India

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1 solution

Nitish Deshpande
Jul 15, 2014

Bcoz cos90=0 so the whole lhs becomes0

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