The cos trigonometric role calculates the cosine the an edge in radians, degrees or gradians.cos(`0`), return 1

Summary :The cos trigonometric role calculates the cosine that an angle in radians, levels or gradians.

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description :Cosine functionThe calculator enables to use many of the **trigonometric functions**, it is possible to calculate the **cosine**, the sine and also the tangent of an angle through the attributes of the exact same name..

The **trigonometric role cosine** provided **cos**, enables to **calculate the cosine of one angle digital **, the is feasible to use different angular devices : degrees, gradians and radians wich is the angular unit through default.

## Calculation of the cosine

### Cosine calculating an angle in radians

The **cosine calculator** permits through the cos role to **calculate** **online** the **cosine** of an angle in radians, you must very first select the preferred unit by clicking the alternatives button calculate module. After that, you can start her calculations.

To **calculate cosine online** the `pi/6`, get in cos(`pi/6`), ~ calculation, the an outcome `sqrt(3)/2` is returned.

keep in mind that the cosine role is maybe to recognize some unique angles and make the calculations v special connected values in exact form.

### Calculate the cosine the an angle in degrees

To **calculate the cosine of one angle** in degrees, friend must an initial select the desired unit by clicking the alternatives button calculation module. After that, you deserve to start your calculus.

To calculate cosine of 90, get in cos(90), ~ calculation, the restults 0 is returned.

### Calculate the cosine of an angle in gradians

To calculation the cosine of an angle in gradians, girlfriend must very first select the wanted unit by clicking the options button calculation module. After that, you can start your calculus.

To calculate cosine the 50, go into cos(50), after computation, the result `sqrt(2)/2` is returned.

keep in mind that the cosine duty is maybe to recognize some unique angles and do the calculus with special connected exact values.

## Special cosine values

The cosine admits some special values i beg your pardon the calculator is able to identify in exact forms. Here is the perform of the **special cosine values**:

cos(`2*pi`) | `1` |

cos(`pi`) | `-1` |

cos(`pi/2`) | `0` |

cos(`pi/4`) | `sqrt(2)/2` |

cos(`pi/3`) | `1/2` |

cos(`pi/6`) | `sqrt(3)/2` |

cos(`2*pi/3`) | `-1/2` |

cos(`3*pi/4`) | `-sqrt(2)/2` |

cos(`5*pi/6`) | `-sqrt(3)/2` |

cos(`0`) | `1` |

cos(`-2*pi`) | `1` |

cos(`-pi`) | `-1` |

cos(`pi/2`) | `0` |

cos(`-pi/4`) | `sqrt(2)/2` |

cos(`-pi/3`) | `1/2` |

cos(`-pi/6`) | `sqrt(3)/2` |

cos(`-2*pi/3`) | `-1/2` |

cos(`-3*pi/4`) | `-sqrt(2)/2` |

cos(`-5*pi/6`) | `-sqrt(3)/2` |

## Main properties

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

## Derivative the cosine

The derivative of the cosine is same to -sin(x).

## Antiderivative of cosine

The antiderivative of the cosine is equal to sin(x).

## Properties that the cosine function

The **cosine** function is an even function, because that every actual x, `cos(-x)=cos(x)`. The an effect for the curve representative that the cosine function is the it admits the axis the the ordinates as axis that symmetry.

## Equation through cosine

The calculator has a solver which allows it to deal with equation v cosine that the form **cos(x)=a**. The calculations to attain the an outcome are detailed, for this reason it will certainly be feasible to solve equations prefer `cos(x)=1/2` or `2*cos(x)=sqrt(2)` through the calculate steps.

Syntax :cos(x), whereby x is the measure of an edge in degrees, radians, or gradians.

Examples :cos(`0`), returns 1

Derivative cosine :To differentiate duty cosine online, that is possible to use the derivative calculator which permits the calculation of the derivative the the cosine function

The **derivative of cos(x)** is derivative_calculator(`cos(x)`)=`-sin(x)`

Antiderivative calculator allows to calculation an antiderivative the cosine function.

An **antiderivative of cos(x)** is antiderivative_calculator(`cos(x)`)=`sin(x)`

The limit calculator allows the calculation of boundaries of the cosine function.

See more: When An Electrical Impulse Reaches The Av Node, It Is Slowed For A Brief Period Of Time So That:

The **limit that cos(x)** is limit_calculator(`cos(x)`)

The **inverse duty of cosine** is the arccosine function listed arccos.

The graphing calculator is able come plot cosine function in its an interpretation interval.

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