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📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📝 Recent Posts

e 1 $. Not simultaneous. Try to find $ x $ such that $ \sin 3x \sin x...
ight) = -1 $. Then $ \sin 3x \sin x = -1 $.
Try $ \sin x = 1 $, $ \sin 3x = 1 $: requires $ x = rac{\pi}{2} $, bu...
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}...
Wait â we want to **minimize** $ f(x) = 1 - \sin 3x \sin x $, so we...
So we seek $ \max(\sin 3x \sin x) $. Use identity:
\sin 3x = 3\sin x - 4\sin^3 x
Let $ u = \sin x \in [-1, 1] $. Then:

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