9709 P32 - Nov 2009 - Q4 - 6 marks
146
The angles \(\alpha\) and \(\beta\) lie in the interval \(0^\circ < x < 180^\circ\), and are such that \(\tan \alpha = 2 \tan \beta\) and \(\tan(\alpha + \beta) = 3\). Find the possible values of \(\alpha\) and \(\beta\).
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