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Home » Solve for r: \(31.4 = 2\pi r \Rightarrow r = \frac31.42\pi \approx 5\) - Crosslake

Solve for r: \(31.4 = 2\pi r \Rightarrow r = \frac31.42\pi \approx 5\) - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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We begin by simplifying the given function:
f(x) = \sin^2 x + \cos^2 x + \frac{1}{\sin^2 x} + \frac{1}{\cos^2 x}
Using the Pythagorean identity $ \sin^2 x + \cos^2 x = 1 $, this becom...
f(x) = 1 + \frac{1}{\sin^2 x} + \frac{1}{\cos^2 x}
Let $ a = \sin^2 x $, $ b = \cos^2 x $, so $ a + b = 1 $, and $ a, b >...

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