Prove the identity $\frac{\sin x}{1-\cos x}+\frac{1-\cos x}{\sin x}=2 \operatorname{cosec} x$[4] H

Question

Prove the identity $\frac{\sin x}{1-\cos x}+\frac{1-\cos x}{\sin x}=2 \operatorname{cosec} x$[4] Hence solve the equation $\frac{\sin x}{1-\cos x}+\frac{1-\cos x}{\sin x}=5 $ for $0\leq x\leq 2\pi$[3]

Accepted Answer

(b)$x=0.412, 2.73$

2025 MSHS PRELIMS P1 Q8

2025 MSHS PRELIMS P1 Q8

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