The tan trigonometric role to calculate the tangent that an edge in radians, degrees or gradians.tan(0), returns 0

Summary :The tan trigonometric function to calculation the tangent of an edge in radians, degrees or gradians.

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description :Tangent functionThe calculator allows to use many of the **trigonometric functions**, the is feasible to calculation the **tan**, the sine and also the cosine of an angle with the features of the very same name..

The **trigonometric role tangent** provided **tan**, enables to **calculate the tangent of one angle digital **, it is possible to use different angular units : radians wich is the angular unit through default, degrees or gradians.

## Calculation that the tangent

### Tangent calculating an edge in radians

The **tangent calculator** allows through the tan function to **calculate** **online** the **tangent** that an edge in radians, girlfriend must very first select the desired unit by clicking the options button calculation module. After that, you have the right to start her calculations.

To **calculate tangent online** the `pi/6`, go into tan(`pi/6`), after calculation, the an outcome `sqrt(3)/3` is returned.

keep in mind that the tangent function is may be to identify some special angles and make the calculations with special connected values in precise form.

### Calculate the tangent that an angle in degrees

To **calculate the tangent of one angle** in degrees, girlfriend must an initial select the preferred unit by clicking the choices button calculate module. After that, you have the right to start her calculus.

To calculation tangent that 60, enter tan(60), after calculation, the restults `sqrt(3)` is returned.

### Calculate the tangent of an angle in gradians

To calculation the tangent of an angle in gradians, you must very first select the desired unit by clicking on the choices button calculation module. After that, you can start your calculus.

To calculate tangent the 50, go into tan(50), after ~ computation, the result `1` is returned.

note that the tangent function is able to recognize some special angles and do the calculus through special connected exact values.

## Special tangent values

The tangent admits some special values i beg your pardon the calculator is may be to determine in specific forms. Below is the perform of the **special tangent values**:

tan(`2*pi`) | `0` |

tan(`pi`) | `0` |

tan(`pi/4`) | `1` |

tan(`pi/3`) | `sqrt(3)` |

tan(`pi/6`) | `sqrt(3)/3` |

tan(`2*pi/3`) | `-sqrt(3)` |

tan(`3*pi/4`) | `-1` |

tan(`5*pi/6`) | `-sqrt(3)/3` |

tan(`-2*pi`) | `0` |

tan(`-pi`) | `0` |

tan(`-pi/4`) | `-1` |

tan(`-pi/3`) | `-sqrt(3)` |

tan(`-pi/6`) | `sqrt(3)/3` |

tan(`-2*pi/3`) | `sqrt(3)` |

tan(`-3*pi/4`) | `1` |

tan(`-5*pi/6`) | `sqrt(3)/3` |

## Main properties

`AA x in RR, k in ZZ`, `tan(-x)= -tan(x)` `tan(x+k*pi)=tan(x)` `tan(pi-x)=-tan(x)` `tan(pi+x)=tan(x)` `tan(pi/2-x)=1/tan(x)` `tan(pi/2+x)=-1/tan(x)`

## Derivative that tangent

The derivative of the tangent is equal to `1/cos(x)^2`.

## Antiderivative that tangent

The antiderivative of the tangent is same to `-ln(cos(x))`.

## Properties of the tangent function

The **tangent** duty is one odd function, because that every genuine x, `tan(-x)=-tan(x)`. The repercussion for the curve representative the the tangent role is that it admits the beginning of the reference allude as point of symmetry.

Syntax :tan(x), where x is the measure of an angle in degrees, radians, or gradians.

Examples :tan(0), return 0

Derivative tangent :To differentiate role tangent online, it is possible to usage the derivative calculator which enables the calculate of the derivative that the tangent function

The **derivative that tan(x)** is derivative_calculator(`tan(x)`)=`1/cos(x)^2`

Antiderivative calculator enables to calculate an antiderivative the tangent function.

An **antiderivative the tan(x)** is antiderivative_calculator(`tan(x)`)=`-ln(cos(x))`

The limit calculator allows the calculate of boundaries of the tangent function.

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The **limit the tan(x)** is limit_calculator(`tan(x)`)

The **inverse function of tangent** is the arctangent function noted arctan.

The graphing calculator is able come plot tangent function in its meaning interval.

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