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Home » Duran Duran Hungry Wolf: This Iconic Band’s Secret Hit Shocked Fans Forever! - SUpost

Duran Duran Hungry Wolf: This Iconic Band’s Secret Hit Shocked Fans Forever! - SUpost

📅 July 7, 2026 👤 scraface

Jul 07, 2026

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📌 Question: Find all angles $z \in [0^\circ, 360^\circ]$ that satisfy

📌 2\sin^2 z - 3\sin z + 1 = 0

📌 Let $x = \sin z$. Then:

📌 2x^2 - 3x + 1 = 0

📌 Solve the quadratic:

📌 x = \frac{3 \pm \sqrt{9 - 8}}{4} = \frac{3 \pm 1}{4} \Rightarrow x = 1, \frac{1}{2}

📌 Now solve for $z$:

📌 $\sin z = 1 \Rightarrow z = 90^\circ$

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