9709 P33 - Nov 2019 - Q4 - 7 marks
125
(i) By expanding \(\tan(2x + x)\), demonstrate that the equation \(\tan 3x = 3 \cot x\) can be rewritten as \(\tan^4 x - 12 \tan^2 x + 3 = 0\).
(ii) Solve the equation \(\tan 3x = 3 \cot x\) for \(0^\circ < x < 90^\circ\).
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