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Home » To find the roots, set each factor equal to zero: - AdVision eCommerce

To find the roots, set each factor equal to zero: - AdVision eCommerce

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 We verify this value is attainable. Suppose $ \sin 3x = 1 $ and $ \sin x = 1 $. Then $ x = rac{\pi}{2} + 2\pi n $. Check $ \sin 3x = \sin\left(rac{3\pi}{2}

📌 ight) = -1

📌 e 1 $. Not simultaneous. Try to find $ x $ such that $ \sin 3x \sin x = 1 $. This requires both $ |\sin 3x| = 1 $ and $ |\sin x| = 1 $, and same sign. But suppose $ \sin x = 1 \Rightarrow x = rac{\pi}{2} $, then $ \sin 3x = \sin\left(rac{3\pi}{2}

📌 ight) = -1 $. Then $ \sin 3x \sin x = -1 $.

📌 Try $ \sin x = 1 $, $ \sin 3x = 1 $: requires $ x = rac{\pi}{2} $, but $ \sin 3x = -1 $. Try $ \sin x = -1 \Rightarrow x = rac{3\pi}{2} $, $ \sin 3x = \sin\left(rac{9\pi}{2}

📌 ight) = \sin\left(rac{\pi}{2}

📌 ight) = 1 $, so product = $ -1 $.

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