If `tantheta=(4)/(3)`, then find the value of `(3sintheta-2costheta)/(3sintheta+5costheta)`

Explanation

To solve the problem, we need to find the value of \(\frac{3\sin\theta - 2\cos\theta}{3\sin\theta + 5\cos\theta}\) given that \(\tan\theta = \frac{4}{3}\).

### Step 1: Express \(\sin\theta\) and \(\cos\theta\) using \(\tan\theta\)

We know that:
\[ \tan\theta = \frac{\sin\theta}{\cos\theta} \]
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