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If \(\sin\) \((P - Q)\) \(=\) and \(\cos\) \((P + Q)\) \(=\) , where \(0^{\circ}\) \(<\) \((P + Q)\) \(\leq\) \(90^{\circ}\) and \(P\) \(>\) \(Q\), then determine the angles \(P\) and \(Q\).
Answer:
\(P\) \(=\) \(^{\circ}\)
\(Q\) \(=\) \(^{\circ}\)
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