Solve the following inequality:
(i) `sin x ge sqrt(3)/2`
(ii) `sinx + cosx ge 1`

Explanation

To solve the given inequalities, we will break it down into two parts as specified.

### Part (i): Solve the inequality \( \sin x \geq \frac{\sqrt{3}}{2} \)

1. **Identify the angles where \( \sin x = \frac{\sqrt{3}}{2} \)**:
- The sine function equals \( \frac{\sqrt{3}}{2} \) at angles \( x = \frac{\pi}{3} \) and \( x = \frac{2\pi}{3} \).

2. **Determine the intervals**:
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