9709 P12 - Jun 2012 - Q5 - 6 marks
463
(i) Prove the identity \(\tan x + \frac{1}{\tan x} \equiv \frac{1}{\sin x \cos x}\).
(ii) Solve the equation \(\frac{2}{\sin x \cos x} = 1 + 3 \tan x\), for \(0^\circ \leq x \leq 180^\circ\).
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