The sin trigonometric duty to calculate the sine that an edge in radians, degrees or gradians.sin(`0`), returns 0

Summary :The sin trigonometric function to calculation the sine the an angle in radians, degrees or gradians.

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description :Sine functionThe calculator allows to use most of the **trigonometric functions**, it is feasible to calculation the **sine**, the cosine and also the tangent of an angle with the features of the exact same name..

The **trigonometric function sine** provided **sin**, permits to **calculate the sine of one angle digital **, the is possible to use different angular devices : degree, grade and also radians wich is the angular unit by default.

## Calculation of the sine

### Sine calculating an edge in radians

The **sine calculator** permits through the sin role to **calculate** **online** the **sine** sine the an edge in radians, you must an initial select the preferred unit by clicking on the choices button calculation module. After ~ that, you can start her calculations.

To **calculate sine online** that `pi/6`, go into sin(`pi/6`), after calculation, the an outcome `1/2` is returned.

note that the sine function is maybe to recognize some one-of-a-kind angles and also make the calculations with special connected values in precise form.

### Calculate the sine that an edge in degrees

To **calculate the sine of one angle** in degrees, you must an initial select the desired unit by clicking on the options button calculate module. After that, you can start your calculus.

To calculation sine of 90, get in sin(90), after calculation, the restults 1 is returned.

### Calculate the sine of an angle in gradians

To calculation the sine of an angle in gradians, girlfriend must an initial select the desired unit by clicking on the alternatives button calculation module. After that, you can start her calculus.

To calculation sine the 50, get in sin(50), after computation, the result `sqrt(2)/2` is returned.

keep in mind that the sine function is may be to acknowledge some distinct angles and also do the calculus v special connected exact values.

## Special sine values table

The sine admits some distinct values which the calculator is maybe to determine in exact forms. Below is a table that the **commonsine values**:

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

sin(`pi`) | `0` |

sin(`pi/2`) | `1` |

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

sin(`pi/3`) | `sqrt(3)/2` |

sin(`pi/6`) | `1/2` |

sin(`2*pi/3`) | `sqrt(3)/2` |

sin(`3*pi/4`) | `sqrt(2)/2` |

sin(`5*pi/6`) | `1/2` |

sin(`0`) | `0` |

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

sin(`-pi`) | `0` |

sin(`pi/2`) | `-1` |

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

sin(`-pi/3`) | `-sqrt(3)/2` |

sin(`-pi/6`) | `-1/2` |

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

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

sin(`-5*pi/6`) | `-1/2` |

## Main properties

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

## Derivative that sine

The derivative the the sine is equal to cos(x).

## Antiderivative that sine

The antiderivative of the sine is equal to -cos(x).

## Properties that the sine function

The **sine** role is one odd function, for every real x, `sin(-x)=-sin(x)`. The an effect for the curve representative that the sine function is that it admits the beginning of the reference allude as suggest of symmetry.

## Equation with sine

The calculator has actually a solver which permits it to resolve equation v sine the the kind **cos(x)=a**. The calculations to attain the result are detailed, so it will be possible to solve equations like `sin(x)=1/2` or `2*sin(x)=sqrt(2)` v the calculation steps.

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

Examples :sin(`0`), return 0

Derivative sine :To differentiate role sine online, that is feasible to use the derivative calculator which allows the calculate of the derivative of the sine function

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

Antiderivative calculator permits to calculation an antiderivative of sine function.

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

The limit calculator allows the calculation of limits of the sine function.

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

The **inverse duty of sine** is the arcsine function provided arcsin.

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

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