If `p=(sinA)/(sinB)` and `q=(cos A)/(cos B)`

Explanation

To solve the problem where \( p = \frac{\sin A}{\sin B} \) and \( q = \frac{\cos A}{\cos B} \), we need to find the values of \( \tan A \) and \( \tan B \).

### Step-by-Step Solution:

1. **Express \(\sin A\) and \(\cos A\)**:
From the given equations, we can express \(\sin A\) and \(\cos A\) in terms of \(\sin B\) and \(\cos B\):
\[
\sin A = p \cdot \sin B \quad \text{(Equation 1)}
...