A geometry problem by Khaled Mera

Geometry Level 3

1 sin ⁡ 4 5 ∘ sin ⁡ 4 6 ∘ + 1 sin ⁡ 4 7 ∘ sin ⁡ 4 8 ∘ + 1 sin ⁡ 4 9 ∘ sin ⁡ 5 0 ∘ + ⋯ + 1 sin ⁡ 13 3 ∘ sin ⁡ 13 4 ∘ = ? \frac 1{\sin 45^\circ \sin 46^\circ} + \frac 1{\sin 47^\circ \sin 48^\circ} + \frac 1{\sin 49^\circ \sin 50^\circ} + \cdots + \frac 1{\sin 133^\circ \sin 134^\circ} =\ ?


The answer is 57.3.

Khaled Mera by Khaled Mera , 21, Egypt

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