Question

The value of
$cot( {tan}^{ - 1} \frac{4}{3} )$
is

​

Answer 1

Step-by-step explanation:

$cot( {tan}^{ - 1} \frac{4}{3} )$

using formula

$tan^{-1}x+cot^{-1}x=\frac{\pi}{2}$

into the expression:

$\frac{\pi}{2} - \tan( {tan}^{ - 1} \frac{4}{3} )$

$\frac{\pi}{2} - \frac{4}{3}$

$\frac{3\pi - 8}{6}$

Answer:

$\frac{3\pi - 8}{6}$