Find the general values of `theta` from the following equations:
i) `sintheta=-sqrt(3)/(2)`
ii) `sectheta=-sqrt(2)`
iii) `cottheta=-1/sqrt(3)`, iv) `"cosec"theta=-2`

Explanation

Let's solve the given equations step by step to find the general values of \( \theta \).

### i) \( \sin \theta = -\frac{\sqrt{3}}{2} \)

1. **Identify the angle**: We know that \( \sin \frac{\pi}{3} = \frac{\sqrt{3}}{2} \). Therefore, \( \sin \theta = -\sin \frac{\pi}{3} \).
2. **Use the property of sine**: Since \( \sin(-\theta) = -\sin(\theta) \), we can write:
\[
\theta = -\frac{\pi}{3}
...