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

Description :

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].

  1. Calculation of the arccosine

    2. 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.

  2. Derivative of arccosine

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

  3. Antiderivative of arccosine

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

  4. Table of remarkable values

    5. 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)
See also
  • 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.