The equation \(\sin(2\theta) = \cos(\theta)\) can be rewritten using the double angle identity for sine:
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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 \(\sin(2\theta) = \cos(\theta)\).
- \sin(2\theta) = 2\sin(\theta)\cos(\theta).
- Substituting this into the original equation gives:
- 2\sin(\theta)\cos(\theta) = \cos(\theta).
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