9709 P3 - Jun 2003 - Q1 - 4 marks
150
(i) Show that the equation \(\sin(x - 60^\circ) - \cos(30^\circ - x) = 1\) can be written in the form \(\cos x = k\), where \(k\) is a constant.
(ii) Hence solve the equation, for \(0^\circ < x < 180^\circ\).
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