Arccosine : How to use it?
The arccos function allows the calculation of the arc cosine of a number. The arccos 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(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(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(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.
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` |
- Arccosine : arccos. The arccos function allows the calculation of the arc cosine of a number. The arccos 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 arcsin function is the inverse function of the sine function.
- Arctangent : arctan. The arctan function allows the calculation of the arctan of a number. The arctan function is the inverse functions of the tangent function.
- Trigonometric Calculator : simplify_trig. Calculator wich uses trigonometric formula to simplify trigonometric expression.
- Cosine : cos. The cos trigonometric function calculates the cos 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 cotan 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.
- Simplify Calculator : simplify. Calculator wich can simplify an algebraic expression online.
- Secant : sec. The trigonometric function sec allows to calculate the secant of an angle expressed in radians, degrees, or grades.
- Sine : sin. The sin trigonometric function to calculate the sin of an angle in radians, degrees or gradians.
- Tangent : tan. The tan trigonometric function to calculate the tan of an angle in radians, degrees or gradians.