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0606 P23 - Nov 2019 - Q2 - 5 marks
8377

(i) Show that

\(\frac{\operatorname{cosec}x-\operatorname{cot} x}{1-\cos x}\equiv\operatorname{cosec}x.\)

(ii) Hence solve

\(\frac{\operatorname{cosec}x-\operatorname{cot} x}{1-\cos x}=2\)

for \(0^\circ\lt x\lt180^\circ\).

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