# Arccos Calculator with Tables & Formulas , Definitions (Inverse Cosine)

# Arccos Formulas Tables Calculator

An online Arccos calculator along with formulas and tables.

# 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 |

# What is the arccos of 0 ?

arccos 0 = ?

The arccosine is the inverse cosine function.

Since, cos 0 = cos 0º = 1

The arccosine of 0 is equal to the inverse cosine function of 0, which is equal to π/2 radians or 90 degrees:

arccos 0 = cos^{-1} 0 = π/2 rad = 90º

# What is the arccosine of 1 ?

arccos 1 = ?

The arccosine is the inverse cosine function.

Since, cos 0 = cos 0º = 1

The arccosine of 1 is equal to the inverse cosine function of 1, which is equal to 0 radians or 0 degrees:

arccos 1 = cos^{-1} 1 = 0 rad = 0º

# What is the arccos of 2 ?

What is the arccosine of 2 ?

arccos 2 = ?

The arccosine is the inverse cosine function.

Since the cosine function has output values from -1 to 1,

the arccosine function has input values from -1 to 1.

So arccos x is undefined for x=2.

arccos 2 is undefined

# What is arccos of cos(x)

Arccosine of cosine of x.

Since cosine is periodic, the arccosine of cosine of x is equal to x plus 2kπ when k is integer number *k*∈ℤ:

arccos( cos *x* ) = *x*+2*k*π

# What is arccos of sin(x)

Arccosine of sine of x.

The arccosine of sine of x is equal to (when k is integer number *k*∈ℤ):

arccos( sin *x* ) = π/2 - arcsin( sin *x* )

= π/2 - (*x*+2*k*π)

= -*x* - 2*k*π + π/2

= -*x* + (0.5-2*k*)π

# Arccos derivative

Derivative of arccos(x) function.

The derivative of the arccosine function is equal to minus 1 divided by the square root of (1-x^{2}):

# Arccos(x) graph

Graph of function f(x)=arccos(x):

# What is cos of arccos(x)

Arccosine of cosine of x.

Since arccosine is the inverse function of cosine, the cosine of arccosine of x is equal to x:

cos( arccos *x* ) = *x*

x has values from -1 to 1:

*x*∈[-1,1]

# What is sin of arccos(x)

Sine of arccosine of x.

The sine of arccosine of x is equal to the square root of (1-x^{2}):

x has values from -1 to 1:

*x*∈[-1,1]

# What is tan of arccos(x)

Tangent of arccosine of x.

The tangent of the arccosine of x is equal to:

x has values from -1 to 1:

*x*∈[-1,1]