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Home » Solutions: \( x = 1 \) and \( x = 3 \) - 500apps

Solutions: \( x = 1 \) and \( x = 3 \) - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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Therefore, the number of distinct sequences is $ \boxed{1260} $.Questi...
Solution: We begin by rewriting $ f(\theta) $ using trigonometric iden...
f(\theta) = \sin^4 \theta - 4\sin^2 \theta \cos^2 \theta + \cos^4 \the...
Group the first and last terms:
f(\theta) = (\sin^4 \theta + \cos^4 \theta) - 4\sin^2 \theta \cos^2 \t...
Recall that:
\sin^4 \theta + \cos^4 \theta = (\sin^2 \theta + \cos^2 \theta)^2 - 2\...
Substitute into $ f(\theta) $:
f(\theta) = (1 - 2\sin^2 \theta \cos^2 \theta) - 4\sin^2 \theta \cos^2...
Now use the identity $ \sin(2\theta) = 2\sin\theta \cos\theta $, so:

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