Long Division and Trig

Geometry Level 3

sin ⁡ 1 0 ∘ + sin ⁡ 2 0 ∘ + ⋯ + sin ⁡ 8 0 ∘ cos ⁡ 5 ∘ cos ⁡ 1 0 ∘ cos ⁡ 2 0 ∘ = ? \large \dfrac{\sin 10^{\circ}+\sin 20^{\circ} +\cdots + \sin 80^{\circ}}{\cos 5^{\circ} \cos 10^{\circ} \cos 20^{\circ} } = \, ?

3 3 3 \sqrt{3} cos ⁡ 3 5 ∘ \cos 35^\circ 4 4 2 4\sqrt{2} sin ⁡ 3 5 ∘ \sin 35^\circ

Anish Harsha by Anish Harsha , 20, India

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1 solution

Ahmad Saad
Apr 17, 2016

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