Arctangent online calculator
@QED arctangent calculator calculates the arctan of given numbers in degrees and radians as follows.
The atan word works as a command to calculate the arctan values and it can take several arguments separated by spaces. In the above example, the calculator calculates the arctangent of -1, 0, 25. The results are in degrees and radians.
Let's input atan and numbers in the above form!
The arctangent values of -1, 0, 1
| x | arctan(x) |
|---|---|
| -1 | -45° |
| 0 | 0° |
| 1 | 45° |
Arctangent formulas
\[ \textnormal{arctan}(-x) = -\textnormal{arctan}(x) \]
\[ \textnormal{sin}(\textnormal{arctan}(x)) = \dfrac{x}{\sqrt{1 + x^2}} \]
\[ \textnormal{cos}(\textnormal{arctan}(x)) = \dfrac{1}{\sqrt{1 + x^2}} \]
\[ \textnormal{tan}(\textnormal{arctan}(x)) = x \]
\[ \textnormal{arctan}\left(\dfrac{1}{x}\right) = \left\{ \begin{aligned} & \dfrac{\pi}{2} - \textnormal{arctan}(x) && (x>0) \\~\\ & -\dfrac{\pi}{2} - \textnormal{arctan}(x) && (x<0) \end{aligned} \right. \]