# arccosine

## Calculus arccos

The arccos function allows the calculation of the arc cosine of a number. The arccosine function is the inverse functions of the cosine function.
arccos(1) returns 0

### Function : arccos

#### Summary :

The arccos function allows the calculation of the arc cosine of a number. The arccosine function is the inverse functions of the cosine function.

arccos online

# Arccosine function

The arccosine function is the inverse function of the cosine function, it calculates the arc cosine of a number online.

The number on which you wish to apply the fonction arccosine function must belong to the range [-1,1].

## Calculation of the arccosine

To calculate the arccosine of a number, just enter the number and apply the arccos function. Thus, for calculating the arccosine of the number following 0.4, you must enter arccos(0.4) or directly 0.4, if the arccos button already appears, result 1.15927948073 is returned.

## Derivative of arccosine

The derivative of the arccosine is equal to -1/sqrt(1-(x)^2).

## Antiderivative of arccosine

The antiderivative of the arccosine is equal to x*arccos(x)-sqrt(1-(x)^2).

## Table of remarkable values

 arccos(-1) pi arccos(-sqrt(3)/2) 5*pi/6 arccos(-sqrt(2)/2) 3*pi/4 arccos(-1/2) 2*pi/3 arccos(0) pi/2 arccos(1/2) pi/3 arccos(sqrt(2)/2) pi/4 arccos(sqrt(3)/2) pi/6 arccos(1) 0

The arccos function allows the calculation of the arc cosine of a number. The arccosine function is the inverse functions of the cosine function.

#### Syntax :

arccos(x) where x is a number.

Other notation sometimes used : acos

#### Examples :

arccos(1) returns 0

#### Derivative arccosine :

To differentiate function arccosine online, it is possible to use the derivative calculator which allows the calculation of the derivative of the arccosine function

The derivative of arccos(x) is derivative_calculator("arccos"(x))=-1/sqrt(1-(x)^2)

#### Antiderivative arccosine :

Antiderivative calculator allows to calculate an antiderivative of arccosine function.

An antiderivative of arccos(x) is antiderivative_calculator("arccos"(x))=x*"arccos"(x)-sqrt(1-(x)^2)

#### Limit arccosine :

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

The limit of arccos(x) is limit_calculator("arccos"(x))

#### Inverse function arccosine :

The inverse function of arccosine is the cosine function noted cos.

#### Graphic arccosine :

The graphing calculator is able to plot arccosine function in its definition interval.

Calculate online with arccos (arccosine)
• Arccosine : arccos. The arccos function allows the calculation of the arc cosine of a number. The arccosine function is the inverse functions of the cosine function.
• Arcsine : arcsin. The arcsin function allows the calculation of the arc sine of a number. The arcsine function is the inverse function of the sine function.
• Arctangent : arctan. The arctan function allows the calculation of the arctangent of a number. The arctangent function is the inverse functions of the tangent function.
• Cosine : cos. The cos trigonometric function calculates the cosine of an angle in radians, degrees or gradians.
• Cosecant : cosec. The trigonometric function sec allows to calculate the secant of an angle expressed in radians, degrees, or grades.
• Cotangent : cotan. The cotan trigonometric function to calculate the cotangent of an angle in radians, degrees or gradians.
• Trigonometric expansion : expand_trigo. The calculator makes it possible to obtain the trigonometric expansion of an expression.
• Trigonometric linearization : linearization_trigo. Calculator that allows to linearize a trigonometric expression.
• Secant : sec. The trigonometric function sec allows to calculate the secant of an angle expressed in radians, degrees, or grades.
• Simplify Calculator : simplify. Calculator wich can simplify an algebraic expression online.
• Sine : sin. The sin trigonometric function to calculate the sine of an angle in radians, degrees or gradians.
• Tangent : tan. The tan trigonometric function to calculate the tangent of an angle in radians, degrees or gradians.
• Trigonometric Calculator : trig_calculator. Calculator wich uses trigonometric formula to simplify trigonometric expression.