Graphs of arcsin, arccos and arctan

The graphs of the three inverses are obtained by reflecting those of the restricted functions about the bisector $y=x$.

$\arcsin$ is defined on $[-1,1]$ with range $[-\pi/2,\pi/2]$, and is monotonically increasing.

$\arccos$ is defined on $[-1,1]$ with range $[0,\pi]$, and is monotonically decreasing.

$\arctan$ is defined on the whole of $\mathbb{R}$ with range $(-\pi/2,\pi/2)$ and has the horizontal asymptotes $y=\pm\pi/2$.

Links

Topics: Trigonometry
Concepts: Arccosine · Arcsine · Arctangent · Asymptote
Functions: Arccosine · Arcsine · Arctangent · Inverse trigonometric functions
Skills: Interpreting graphs · Plotting graphs