0606 P22 - Nov 2022 - Q7 - 8 marks
7902
(a) Show that
\(\frac{\sin x}{1-\cos x}+\frac{1-\cos x}{\sin x}=2\operatorname{cosec}x.\)
(b) Hence solve the equation
\(\frac{\sin x}{1-\cos x}+\frac{1-\cos x}{\sin x}=3\sin x-1\)
for \(0^\circ\lt x\lt 360^\circ\).
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