Prove, in at most four logical steps, that 1- + 1- =2 whenever is not an integral…

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Prove, in at most four logical steps, that 1−cos⁡θsin⁡θ+sin⁡θ1−cos⁡θ=2csc⁡θ\frac{1-\cos\theta}{\sin\theta}+\frac{\sin\theta}{1-\cos\theta}=2\csc\theta whenever θ\theta is not an integral multiple of π\pi.

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