# asymptote of an arctangent

Given the function^{} $y={\mathrm{tan}}^{-1}(x)$,

we see that it has two asymptotes, namely $\frac{\pi}{2}$ and $-(\frac{\pi}{2})$. This specific example of an asymptote was mentioned in an episode of the comedy TV show The Big Bang Theory, in which the mathematician Sheldon Eppes tries to explain his inability to reach the top of a rock wall, getting stuck at the same height each time. According to the Mathematica manual, the results of `ArcTan`

for real $z$ ”are always in the range $-\pi /2$ to $\pi /2$.

## References

- 1 Chuck Lorre, http://chucklorre.com/index.php?p=237Chuck Lorre Productions Vanity Card #237

Title | asymptote of an arctangent |
---|---|

Canonical name | AsymptoteOfAnArctangent |

Date of creation | 2013-03-22 18:51:01 |

Last modified on | 2013-03-22 18:51:01 |

Owner | PrimeFan (13766) |

Last modified by | PrimeFan (13766) |

Numerical id | 4 |

Author | PrimeFan (13766) |

Entry type | Example |

Classification | msc 51N99 |

Synonym | asymptote of an inverse tangent |