0606 P21 - Nov 2018 - Q7 - 8 marks
8520
(i) Show that
\(\frac{1}{1-\cos x}-\frac{1}{1+\cos x}=2\operatorname{cosec}x\operatorname{cot} x.\)
(ii) Hence solve the equation
\(\frac{1}{1-\cos x}-\frac{1}{1+\cos x}=\operatorname{sec} x\)
for \(0\leq x\leq2\pi\) radians.
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