Find the general values of `theta` which satisfy the following equations:
i) `sintheta=1/sqrt(2)` , ii) `costheta=1/2` , (iii) `tantheta=sqrt(3)`, iv) `cottheta=1` , v) `sectheta=2/sqrt(3)`, vi) `"cosec"theta=sqrt(2)`

Explanation

To find the general values of \( \theta \) that satisfy the given equations, we will solve each equation step by step.

### i) \( \sin \theta = \frac{1}{\sqrt{2}} \)

1. Recognize that \( \sin \theta = \frac{1}{\sqrt{2}} \) corresponds to the angle \( \theta = \frac{\pi}{4} \) (or \( 45^\circ \)).
2. The general solution for \( \sin \theta = \sin \alpha \) is given by:
\[
\theta = n\pi + (-1)^n \alpha
...