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MathNet 2026 — Part 07 Question 173

Math Olympiad Vault · MathNet 2026 — Part 07

Question 173

If $2 \sin (3x) = a \cos (3x + c)$, find all values of $ac$. In the choices below, $k$ runs through all integers.


(a) $-\frac{\pi}{2}$


(b) $2k\pi$


(c) $-\pi$


(d) $(4k-1)\pi$