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MathNet 2024-part-06 — 165 problems (EN–VI) Question 5

Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)

Question 5

Let $x_n = \sin^2(n°)$. What is the mean of $x_1, x_2, x_3, \dots, x_{90}$?
(A) $\frac{11}{45}$ (B) $\frac{22}{45}$ (C) $\frac{89}{180}$ (D) $\frac{1}{2}$ (E) $\frac{91}{180}$