If \(\text{cosec}\) \((\alpha - \beta)\) \(=\) and \(\sec\) \((\alpha + \beta)\) \(=\) , where \(0^{\circ}\) \(<\) \((\alpha + \beta)\) \(\leq\) \(90^{\circ}\) and \(\alpha\) \(>\) \(\beta\), then calculate the angles \(\alpha\) and \(\beta\).
Answer:
\(\alpha\) \(=\) \(^{\circ}\)
\(\beta\) \(=\) \(^{\circ}\)