Find general solutions of the following equations:
a) `sintheta=1/2`, b) `cos(3theta)/2=0` , c) `tan(3theta)/2=0` , d) `cos^(2)2theta=1` , e) `sqrt(3)sec2theta=2`, f) `"cosec"(theta/2)=-1`

Explanation

Let's solve each part of the question step by step.

### Part a: \( \sin \theta = \frac{1}{2} \)

1. **Identify the angles where sine is \( \frac{1}{2} \)**:
- The sine function equals \( \frac{1}{2} \) at angles \( \theta = \frac{\pi}{6} \) and \( \theta = \frac{5\pi}{6} \).

2. **Write the general solutions**:
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