Inverse Trig. Inequality

\hspace{-16}$The Solution of the Inequality\\\\ $\mathbf{(\cot ^{-1}x).(\tan^{-1}x)+\left(2-\frac{\pi}{2}\right).\cot^{-1}x-3\tan^{-1}x-3.\left(2-\frac{\pi}{2}\right)>0}$

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