# How do you evaluate the equation arctan(pi/2)?

Nov 11, 2015

$\arctan \left(\frac{\pi}{2}\right) \approx 1.003885$

#### Explanation:

There is no "equation" here to evaluate but assuming the question was intended to be
$\textcolor{w h i t e}{\text{XXX}}$"What is the value of $\arctan \left(\frac{\pi}{2}\right)$?"

First note that the value $\left(\frac{\pi}{2}\right)$ looks suspiciously like it was intended to be an angle but the argument of the $\arctan$ function is not an angle. Perhaps this is an error or perhaps it was an intentional misdirection (???)

If $\theta = \arctan \left(\frac{\pi}{2}\right)$
we have the situation with opposite to adjacent side ratios as indicated below:

This is not one of the "standard" triangles and the only way to (reasonably) evaluate it is to use a calculator (or trig tables) to get the value indicated in the "Answer" above.