0606 P22 - Nov 2018 - Q8 - 8 marks
8532
(i) Show that
\(\frac{1}{1-\sin x}-\frac{1}{1+\sin x}=2\tan x\operatorname{sec} x.\)
(ii) Hence solve the equation
\(\frac{1}{1-\sin x}-\frac{1}{1+\sin x}=\operatorname{cosec}x\)
for \(0^\circ\lt x\lt 360^\circ\).
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