If `(sinA)/(sinB)=pa n d(cosA)/(cosB)=q ,` find `tanAa n dtanBdot`

Explanation

To solve the problem, we need to find the values of \( \tan A \) and \( \tan B \) given the relationships \( \frac{\sin A}{\sin B} = P \) and \( \frac{\cos A}{\cos B} = Q \).

### Step-by-Step Solution:

1. **Understanding the Ratios**:
We start with the given ratios:
\[
\frac{\sin A}{\sin B} = P \quad \text{and} \quad \frac{\cos A}{\cos B} = Q
...