Question

How do you evaluate the equation arctan(-1)?

Answer 1

`color(maroon)(arctan (-1) = n pi - pi/4`

Explanation:

`arctan (-1)`

Let `theta = tan ^-1 -1`

`tan theta = -1`

`tan theta = tan (-45)`

`theta = -45^@ = - pi/4`

Generalising, `color(maroon)(theta = (n pi - (pi/4))`