Prove that:\\ \frac{1 + \tan\theta + \cot\theta}{1 - \cot\theta} - \frac{1 - \tan\theta}{1 - \cot\theta} = 1 + \tan\theta + \cot\theta

          Prove that:\\
\frac{1 + \tan\theta + \cot\theta}{1 - \cot\theta} - \frac{1 - \tan\theta}{1 - \cot\theta} = 1 + \tan\theta + \cot\theta

Alan S. Tussy, R. David Gustafson 5th Edition

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