Two fractions with a sine numerator

Two fractions with a sine numerator

4 marks
TGM Original
Prove that (sin x)/(1-cos x)+(sin x)/(1+cos x)=2cosecx, wherever both sides are defined. State the restrictions on x.

Solution:

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Answer:\(\frac{\sin x}{1-\cos x}+\frac{\sin x}{1+\cos x}=2\operatorname{cosec}x\), for \(\sin x\ne0\).

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