$tan(cot^{-1}x)$ is equal to
Answer & explanation
Correct answer: option 2
The correct answer is Option 2: $\frac{1}{x}$
$\theta = \cot^{-1} x$
$\cot\theta = x$
$\tan\theta = \frac{1}{\cot\theta} = \frac{1}{x}$
$\tan(\cot^{-1} x) = \frac{1}{x}$
The value is $\frac{1}{x}$.