# Arccos Calculator

The Arccos(x) (inverse cosine) calculator is a tool that helps you find the angle in radians or degrees whose cosine is equal to a given value. It allows you to determine the angle measurement when you know the cosine of that angle.

## Arccos definition

The Arccosine function is the inverse function of cos(x).

arccos(*x*) = cos^{-1}(*x*)

For example, If the cosine of 60° is 0.5:

cos(60°) = 0.5

Then the arccos of 0.5 is 60°:

arccos(0.5) = cos^{-1}(0.5) = 60°

## Arccos table

x | arccos(x) | |
---|---|---|

degrees | radians | |

-1 | 180° | π |

-0.8660254 | 150° | 5π/6 |

-0.7071068 | 135° | 3π/4 |

-0.5 | 120° | 2π/3 |

0 | 90° | π/2 |

0.5 | 60° | π/3 |

0.7071068 | 45° | π/4 |

0.8660254 | 30° | π/6 |

1 | 0° | 0 |

## Arccos Calculator Example

Angle (θ) | Arccos(θ) |
---|---|

0 | 90° |

0.5 | 60° |

-0.5 | 120° |

1 | 0° |

-1 | 180° |

The arccos function (also known as inverse cosine function) returns the angle whose cosine is equal to a given value. It is commonly denoted as arccos(θ) or cos^(-1)(θ).

In this table, we have selected different values for θ and calculated their corresponding arccos(θ) values.

For example, when θ is 0, the arccos(0) is 90°. This means that the cosine of 90° is equal to 0.

Similarly, when θ is 0.5, the arccos(0.5) is 60°. This means that the cosine of 60° is equal to 0.5.

When θ is -0.5, the arccos(-0.5) is 120°. This means that the cosine of 120° is equal to -0.5.

When θ is 1, the arccos(1) is 0°. This means that the cosine of 0° is equal to 1.

When θ is -1, the arccos(-1) is 180°. This means that the cosine of 180° is equal to -1.

Please note that the angles in this table are given in degrees, and the values can be converted to radians if needed by multiplying by π/180.