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

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

You are watching: Cos(-pi/3)

description :Cosine functionThe calculator allows to use most of the **trigonometric functions**, that is possible to calculation the **cosine**, the sine and also the tangent of one angle with the attributes of the same name..

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

## Calculation that the cosine

### Cosine calculating an angle in radians

The **cosine calculator** allows through the cos function to **calculate** **online** the **cosine** of an angle in radians, girlfriend must very first select the desired unit by clicking the alternatives button calculation module. After ~ that, you can start her calculations.

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

keep in mind that the cosine role is maybe to recognize some one-of-a-kind angles and also make the calculations with special associated values in precise form.

### Calculate the cosine of an angle in degrees

To **calculate the cosine of one angle** in degrees, girlfriend must first select the preferred unit by clicking the alternatives button calculation module. After that, you can start your calculus.

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

### Calculate the cosine the an angle in gradians

To calculation the cosine that an edge in gradians, girlfriend must very first select the wanted unit by clicking the options button calculate module. After ~ that, you deserve to start your calculus.

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

note that the cosine role is able to acknowledge some one-of-a-kind angles and do the calculus v special linked exact values.

## Special cosine values

The cosine admits some special values i m sorry the calculator is able to recognize in precise forms. Below 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 that the cosine is equal to -sin(x).

## Antiderivative the cosine

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

## Properties the the cosine function

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

## Equation with cosine

The calculator has actually a solver which permits it to settle equation through cosine of the kind **cos(x)=a**. The calculations to obtain the result are detailed, therefore it will certainly be possible to settle equations favor `cos(x)=1/2` or `2*cos(x)=sqrt(2)` v the calculation steps.

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

Examples :cos(`0`), returns 1

Derivative cosine :To differentiate duty cosine online, it is feasible to use the derivative calculator which enables the calculation of the derivative the the cosine function

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

Antiderivative calculator permits to calculate an antiderivative the cosine function.

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

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

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

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

The graphing calculator is able to plot cosine role in its definition interval.

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