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 \((3 \sin \theta - 2 \cos \theta) / (3 \sin \theta + 5 \cos \theta)\) given that \(\tan \theta = \frac{4}{3}\).

### Step-by-Step Solution:

1. **Express \(\sin \theta\) and \(\cos \theta\) in terms of \(\tan \theta\)**:
\[ \tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{4}{3} \]
...