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MathNet 2024-part-06 — 165 problems (EN–VI) Question 2

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

Question 2

How many angles $\theta$ with $0 \le \theta \le 2\pi$ satisfy $\log(\sin(3\theta)) + \log(\cos(2\theta)) = 0$?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4