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/ #### 0.154**Question:
#### 0.154**Question:
February 22, 2026
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Probability of no false match: 1 – 0.08 = 0.92.
Probability both pass: 0.92 × 0.92 = <<0.92*0.92=0.8464>>0.8464.
So, probability of at least one false match: 1 – 0.8464 = <<1-0.8464=0.1536>>0.1536.
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).
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