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hyatt regency bloomington - minneapolis bloomington - IQnection

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 So, probability of at least one false match: 1 – 0.8464 = <<1-0.8464=0.1536>>0.1536.

📌 #### 0.154**Question:

📌 Find all angles \( \theta \in [0^\circ, 360^\circ] \) that satisfy the equation \(\sin(2\theta) = \cos(\theta)\).

📌 The equation \(\sin(2\theta) = \cos(\theta)\) can be rewritten using the double angle identity for sine:

📌 \sin(2\theta) = 2\sin(\theta)\cos(\theta).

📌 Substituting this into the original equation gives:

📌 2\sin(\theta)\cos(\theta) = \cos(\theta).

📌 Assuming \(\cos(\theta) \neq 0\), we can divide both sides by \(\cos(\theta)\):

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