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Home » You Won’t Believe: How Porcupines Fire Their Quills With Shocking Speed! - Deep Underground Poetry

You Won’t Believe: How Porcupines Fire Their Quills With Shocking Speed! - Deep Underground Poetry

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 \cos 2\theta = 1 - 2\sin^2\theta

📌 - 2\sin^2\theta = \sin \theta

📌 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:

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