∫cosec⁡θ−cot⁡θcosec⁡θ+cot⁡θ dθ=\int \frac{\operatorname{cosec}\theta - \cot\theta}{\operatorname{cosec}\theta + \cot\theta}\,d\theta =…

Mathematics

Problem

∫cosec⁡θ−cot⁡θcosec⁡θ+cot⁡θ dθ=\int \frac{\operatorname{cosec}\theta - \cot\theta}{\operatorname{cosec}\theta + \cot\theta}\,d\theta = (a) 2cosec⁡θ−2cot⁡θ−θ+c2\operatorname{cosec}\theta - 2\cot\theta - \theta + c (b) 2cosec⁡θ−2cot⁡θ+θ+c2\operatorname{cosec}\theta - 2\cot\theta + \theta + c (c) 2cosec⁡θ+2cot⁡θ−θ+c2\operatorname{cosec}\theta + 2\cot\theta - \theta + c (d) None of these (a) 2cosec⁡θ−2cot⁡θ−θ+c2\operatorname{cosec}\theta - 2\cot\theta - \theta + c (b) 2cosec⁡θ−2cot⁡θ+θ+c2\operatorname{cosec}\theta - 2\cot\theta + \theta + c (c) 2cosec⁡θ+2cot⁡θ−θ+c2\operatorname{cosec}\theta + 2\cot\theta - \theta + c (d) None of these

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