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Home » Harley Quinn Cartoon Shocked Fans! Here’s the Craziest Plot Twist Ever! - Network4

Harley Quinn Cartoon Shocked Fans! Here’s the Craziest Plot Twist Ever! - Network4

📅 May 20, 2026 👤 scraface

May 20, 2026

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📌 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 $.

📌 Thus $ \sin 3x \sin x = -1 $ is achievable (e.g., $ x = rac{3\pi}{2} $). But we want **maximum** of $ \sin 3x \sin x $, not minimum.

📌 Wait â we want to **minimize** $ f(x) = 1 - \sin 3x \sin x $, so we want the **maximum** of $ \sin 3x \sin x $.

📌 So we seek $ \max(\sin 3x \sin x) $. Use identity:

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