# Arctan Calculator with Tables & Formulas , Definitions (Inverse Tangent)

# Arctan Formulas Tables Calculator

An online Arctan calculator along with formulas and tables.

## Arctangent table

y | x = arctan(y) | |
---|---|---|

degrees | radians | |

-1.732050808 | -60° | -π/3 |

-1 | -45° | -π/4 |

-0.577350269 | -30° | -π/6 |

0 | 0° | 0 |

0.577350269 | 30° | π/6 |

1 | 45° | π/4 |

1.732050808 | 60° | π/3 |

# What is the arctangent of 0 ?

arctan 0 = ?

The arctangent is the inverse tangent function.

Since, tan 0 = tan 0º = 0

The arctangent of 0 is equal to the inverse tangent function of 0, which is equal to 0 radians or 0 degrees:

arctan 0 = tan^{-1} 0 = 0 rad = 0º

# What is the arctangent of 1 ?

arctan 1 = ?

The arctangent is the inverse tangent function.

Since, tan π/4 = tan 45º = 1

The arctangent of 1 is equal to the inverse tangent function of 1, which is equal to π/4 radians or 45 degrees:

arctan 1 = tan^{-1} 1 = π/4 rad = 45º

# What is the arctangent of 2 ?

arctan 2 = ?

The arctangent is the inverse tangent function.

Since, tan 1.107 = tan 63.435º = 2

The arctangent of 2 is equal to the inverse tangent function of 2, which is equal to 1.107 radians or 63.435 degrees:

arctan 2 = tan^{-1} 2 = 1.107 rad = 63.435º

# Arctan of infinity

What is the arctangent of infinity and minus infinity?

arctan(∞) = ?

The arctangent is the inverse tangent function.

The limit of arctangent of x when x is approaching infinity is equal to pi/2 radians or 90 degrees:

The limit of arctangent of x when x is approaching minus infinity is equal to -pi/2 radians or -90 degrees:

# Derivative of arctan

What is the derivative of the arctangent function of x?

The derivative of the arctangent function of x is equal to 1 divided by (1+x^{2})

# Integral of arctan

What is the integral of the arctangent function of x?

The indefinite integral of the arctangent function of x is:

# Arctan graph

Graph of arctangent of x:

# What is the sine of arctan(x)

sin( arctan(*x*) ) = ?

The sine of the arctangent of x is:

# What is the cosine of arctan(x)

cos( arctan(*x*) ) = ?

The cosine of the arctangent of x is: