Solve `sintheta+sqrt(3)cos theta geq1,-pi < theta < pidot`

Explanation

To solve the inequality \( \sin \theta + \sqrt{3} \cos \theta \geq 1 \) for \( -\pi < \theta < \pi \), we can follow these steps:

### Step 1: Rewrite the inequality
We start with the inequality:

\[ \sin \theta + \sqrt{3} \cos \theta \geq 1 \]
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