1.

Find the principal value of the following :\(\cot(\tan^{-1}\mathrm x + \cot^{-1}\mathrm x)\)

Answer»

\(\cot(\tan^{-1}\mathrm x + \cot^{-1}\mathrm x)=\cot \left(\frac{\pi}{2}\right)\)

[ Formula: tan-1 x + cot -1 x = \(\frac{\pi}{2}\)]

Putting value of cot\(\left(\frac{\pi}{2}\right)\)

=0



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