Question

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

Answer 1

`arctan(pi/2) ~~ 1.003885`

Explanation:

There is no "equation" here to evaluate but assuming the question was intended to be
`color(white)("XXX")`"What is the value of `arctan(pi/2)`?"

First note that the value `(pi/2)` 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(pi/2)`
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.