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Home » You NEVER KNEW This Simple Rule About Taking Lighters on Planes—What Happens When You Do? - GetMeFoodie

You NEVER KNEW This Simple Rule About Taking Lighters on Planes—What Happens When You Do? - GetMeFoodie

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 \boxed{\begin{pmatrix} t \\ 2 \\ 3 \end{pmatrix}} \quad \text{حيث } t \in \mathbb{R}

📌 الإجابة النهائية:** $\boxed{\begin{pmatrix} t \\ 2 \\ 3 \end{pmatrix}}$ لأي عدد حقيقي $t$.

📌 السؤال: أوجد جميع الزوايا $z \in [0^\circ, 360^\circ]$ التي تحقق المعادلة $\cos 2z = \sin z$.

📌 \cos 2z = \sin z

📌 باستخدام متطابقة الزاوية المزدوجة، $\cos 2z = 1 - 2\sin^2 z$, تصبح المعادلة:

📌 - 2\sin^2 z = \sin z \implies 2\sin^2 z + \sin z - 1 = 0

📌 لنفترض $u = \sin z$, إذن:

📌 2u^2 + u - 1 = 0 \implies u = \frac{-1 \pm \sqrt{1 + 8}}{4} = \frac{-1 \pm 3}{4}

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