9709 P31 - Jun 2018 - Q2 - 6 marks
130
(i) Given that \(\sin(x - 60^\circ) = 3 \cos(x - 45^\circ)\), find the exact value of \(\tan x\).
(ii) Hence solve the equation \(\sin(x - 60^\circ) = 3 \cos(x - 45^\circ)\), for \(0^\circ < x < 360^\circ\).
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