Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you simplify $arctan (- 1)$ $arctan (-1)$ ?

1 Answer

Nov 10, 2015

$arctan (- 1) = - \frac{π}{4}$ $arctan(-1) = -pi/4$

Explanation:

If $θ = arctan (- 1)$ $theta = arctan(-1)$
then
$XXX tan (θ) = - 1$ $color(white)("XXX")tan(theta)=-1$

$\Rightarrow$ $rArr$ for a triangle in standard trigonometric position
$XXX \frac{opposite}{adjacent} = - 1$ $color(white)("XXX")("opposite")/("adjacent") = -1$

and since $arctan$ $arctan$ is defined as having a limited range of $(- \frac{π}{2}, + \frac{π}{2}]$ $(-pi/2,+pi/2]$

$θ = - \frac{π}{4}$ $theta = -pi/4$

enter image source here

Related questions

See all questions in Basic Inverse Trigonometric Functions

Impact of this question

31037 views around the world

You can reuse this answer
Creative Commons License