The cos trigonometric duty calculates the cosine that an angle in radians, levels or gradians.cos(`0`), returns 1

Summary :The cos trigonometric duty calculates the cosine of an edge in radians, degrees or gradians.

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description :Cosine functionThe calculator allows to use most of the **trigonometric functions**, it is possible to calculation the **cosine**, the sine and the tangent of an angle through the functions of the very same name..

The **trigonometric duty cosine** detailed **cos**, enables to **calculate the cosine of an angle digital **, the is feasible to use various angular systems : degrees, gradians and radians wich is the angular unit by default.

## Calculation the the cosine

### Cosine calculating an angle in radians

The **cosine calculator** permits through the cos function to **calculate** **online** the **cosine** of an angle in radians, you must an initial select the wanted unit by clicking the options button calculate module. After that, you deserve to start her calculations.

To **calculate cosine online** that `pi/6`, go into cos(`pi/6`), after ~ calculation, the result `sqrt(3)/2` is returned.

keep in mind that the cosine function is may be to acknowledge some special angles and make the calculations through special linked values in precise form.

### Calculate the cosine that an angle in degrees

To **calculate the cosine of an angle** in degrees, you must very first select the wanted unit by clicking on the alternatives button calculation module. ~ that, you have the right to start her calculus.

To calculation cosine that 90, get in cos(90), after calculation, the restults 0 is returned.

### Calculate the cosine of an angle in gradians

To calculate the cosine that an edge in gradians, girlfriend must first select the desired unit by clicking on the choices button calculation module. After that, you deserve to start her calculus.

To calculation cosine of 50, get in cos(50), after computation, the result `sqrt(2)/2` is returned.

keep in mind that the cosine role is able to acknowledge some special angles and also do the calculus v special linked exact values.

## Special cosine values

The cosine admits some unique values which the calculator is maybe to determine in exact forms. Right here is the list 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 of cosine

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

## Antiderivative the cosine

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

## Properties the the cosine function

The **cosine** function is an also function, because that every real x, `cos(-x)=cos(x)`. The consequence for the curve representative that the cosine role is the it admits the axis that the ordinates together axis that symmetry.

## Equation with cosine

The calculator has a solver which permits it to resolve equation with cosine of the type **cos(x)=a**. The calculations to acquire the result are detailed, therefore it will be possible to settle equations like `cos(x)=1/2` or `2*cos(x)=sqrt(2)` v the calculation steps.

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

Examples :cos(`0`), return 1

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

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

Antiderivative calculator permits to calculate an antiderivative the cosine function.

An **antiderivative that cos(x)** is antiderivative(`cos(x)`)=`sin(x)`

The border calculator permits the calculation of borders of the cosine function.

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The **limit the cos(x)** is limit(`cos(x)`)

The **inverse role of cosine** is the arccosine function detailed arccos.

The graphing calculator is able to plot cosine function in its meaning interval.

residential or commercial property of the role cosine : The cosine function is an also function. calculation online through cos (cosine)