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Home » Solution: Begin by factoring the numerator: - Aurero

Solution: Begin by factoring the numerator: - Aurero

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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ight)\sin\left(rac{A-B}{2}
Let $ A = 4x $, $ B = 2x $:
\cos 4x - \cos 2x = -2 \sin(3x)\sin(x)
f(x) = 1 + rac{1}{2}(-2 \sin 3x \sin x) = 1 - \sin 3x \sin x
We now seek the minimum value of $ f(x) = 1 - \sin 3x \sin x $. Since...
- 1 = 0
We verify this value is attainable. Suppose $ \sin 3x = 1 $ and $ \sin...
ight) = -1
e 1 $. Not simultaneous. Try to find $ x $ such that $ \sin 3x \sin x...
ight) = -1 $. Then $ \sin 3x \sin x = -1 $.

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