Find the general solution of the following tringometric equations: (i) `sin2theta=0` , (ii) `cos((5theta)/2)=0`, (iii) `tan(theta/3) = 0`

Explanation

Let's solve the given trigonometric equations step by step.

### (i) Solve `sin(2θ) = 0`

1. **Identify the general solution for sine function**:
The sine function equals zero at integer multiples of π. Therefore, we can write:
\[
2θ = nπ \quad (n \in \mathbb{Z})
...