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Home » Penguin Season 2: Frozen Secrets You *Can’t Believe Are Back Again! - inBeat

Penguin Season 2: Frozen Secrets You *Can’t Believe Are Back Again! - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Rearrange into a quadratic in \(\sin \theta\):

📌 2\sin^2\theta + \sin \theta - 1 = 0

📌 Let \( x = \sin \theta \), so:

📌 2x^2 + x - 1 = 0

📌 x = \frac{-1 \pm \sqrt{1^2 - 4(2)(-1)}}{2(2)} = \frac{-1 \pm \sqrt{1 + 8}}{4} = \frac{-1 \pm 3}{4}

📌 This gives:

📌 x = \frac{2}{4} = \frac{1}{2} \quad \text{or} \quad x = \frac{-4}{4} = -1

📌 So, \( \sin \theta = \frac{1}{2} \) or \( \sin \theta = -1 \).

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