The solution set of inequality (tan−1x)(cot−1x)−(tan−1x)(1+π2 – InterviewSolution

1.	The solution set of inequality (tan−1x)(cot−1x)−(tan−1x)(1+π2)−2cot−1x+2(1+π2)>limy→−∞[sec−1y−π2] is (where [.] denotes the greatest integer function)
Answer» The solution set of inequality $({tan}^{- 1} x) ({cot}^{- 1} x) - ({tan}^{- 1} x) (1 + \frac{π}{2}) - 2 {cot}^{- 1} x + 2 (1 + \frac{π}{2}) > lim y \to - \infty [{sec}^{- 1} y - \frac{π}{2}]$ is (where [.] denotes the greatest integer function)

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