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Home » Solution: Convert to Cartesian coordinates using $\rho = \sqrtx^2 + y^2 + z^2$, $x = \rho \sin\phi \cos\theta$, $y = \rho \sin\phi \sin\theta$, $z = \rho \cos\phi$. Multiply both sides by $\rho$: - AMAZONAWS

Solution: Convert to Cartesian coordinates using $\rho = \sqrtx^2 + y^2 + z^2$, $x = \rho \sin\phi \cos\theta$, $y = \rho \sin\phi \sin\theta$, $z = \rho \cos\phi$. Multiply both sides by $\rho$: - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
Solution: Convert to Cartesian coordinates using $\rho = \sqrt{x^2 + y^2 + z^2}$, $x = \rho \sin\phi \cos\theta$, $y = \rho \sin\phi \sin\theta$, $z = \rho \cos\phi$. Multiply both sides by $\rho$:

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📌 Actually, $\sin x + \csc x = \sin x + \frac{1}{\sin x} \geq 2$, and similarly for $\cos x + \sec x$. But squaring gives:

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