First slide

Properties of ITF

Question

$\tan (\cot^{- 1} x)$ is equal to

Moderate

A

$\frac{π}{2} - x$
B

$\cot (\tan^{- 1} x)$
C

$\tan x$
D

none of these

Solution

We have,
$\tan (\cot^{- 1} x) = \tan (\frac{π}{2} - \tan^{- 1} x) = \cot (\tan^{- 1} x)$

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