Eliminate `theta` in the following
(i) `2sintheta=x, 3costheta=y` (ii) `costheta + sintheta=x, costheta-sintheta=y`

Explanation

To eliminate \(\theta\) from the equations \(2\sin\theta = x\) and \(3\cos\theta = y\), we can follow these steps:

### Step 1: Express \(\sin\theta\) and \(\cos\theta\) in terms of \(x\) and \(y\)
From the first equation, we can express \(\sin\theta\) as:
\[ \sin\theta = \frac{x}{2} \]
From the second equation, we can express \(\cos\theta\) as:
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