If \(\tan\) \((\theta - \phi)\) \(=\) 13 and \(\cot\) \((\theta + \phi)\) \(=\) 13, where \(0^{\circ}\) \(<\) \((\theta + \phi)\) \(\leq\) \(90^{\circ}\) and \(\theta\) \(>\) \(\phi\), then determine the angles \(\theta\) and \(\phi\).
 
Answer:
 
\(\theta\) \(=\) \(^{\circ}\)
 
\(\phi\) \(=\) \(^{\circ}\)