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9709 P12 - Nov 2014 - Q5 - 6 marks
456

(i) Show that the equation \(1 + \sin x \tan x = 5 \cos x\) can be expressed as \(6 \cos^2 x - \cos x - 1 = 0\).

(ii) Hence solve the equation \(1 + \sin x \tan x = 5 \cos x\) for \(0^\circ \leq x \leq 180^\circ\).

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