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MathNet 2018-part-07 — 177 problems (EN–VI) Question 84

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 84

Compute the value of
$$
\frac{\cos 30.5^{\circ}+\cos 31.5^{\circ}+\ldots+\cos 44.5^{\circ}}{\sin 30.5^{\circ}+\sin 31.5^{\circ}+\ldots+\sin 44.5^{\circ}}
$$