Arcsine : How to use it?
The arcsin function allows the calculation of the arc sine of a number. The arcsin function is the inverse function of the sine function.
Syntax :
arcsin(x) where x is a number.
Other notation sometimes used : asin
Examples :
arcsin(0) returns 0
Derivative arcsine :
To differentiate function arcsine online, it is possible to use the derivative calculator which allows the calculation of the derivative of the arcsine function
The derivative of arcsin(x) is derivative(arcsin(x))=`1/sqrt(1-(x)^2)`
Antiderivative arcsine :
Antiderivative calculator allows to calculate an antiderivative of arcsine function.
An antiderivative of arcsin(x) is antiderivative(arcsin(x))=`x*"arcsin"(x)+sqrt(1-(x)^2)`
Limit arcsine :
The limit calculator allows the calculation of limits of the arcsine function.
The limit of arcsin(x) is limit(arcsin(x))
Inverse function arcsine :
The inverse function of arcsine is the sine function noted sin.
Graphic arcsine :The graphing calculator is able to plot arcsine function in its definition interval.
Property of the function arcsine :
The arcsine function is an odd function.Arcsine function
The arcsine function is the inverse function of the sine function, it allows to calculates the arc sine of a number online.
The number on which you wish to apply the arcsine function must belong to the range [-1,1].
Calculation of the arcsine
To calculate the arcsine of a number, just enter the number and apply the arcsin function. Thus, for calculating the arcsine of the number following 0.4, you must enter arcsin(0.4) or directly 0.4, if the arcsin button already appears, the result 0.411516846067 is returned.
Derivative of arcsine
The derivative of the arcsine is equal to `1/sqrt(1-(x)^2)`.
Antiderivative of arcsine
The antiderivative of the arcsine is equal to `x*arcsin(x)+sqrt(1-(x)^2)`.
Table of remarkable values
| arcsin(-1) | `-pi/2` |
| arcsin(-sqrt(3)/2) | `-pi/3` |
| arcsin(-sqrt(2)/2) | `-pi/4` |
| arcsin(-1/2) | `-pi/6` |
| arcsin(0) | `0` |
| arcsin(1/2) | `pi/6` |
| arcsin(sqrt(2)/2) | `pi/4` |
| arcsin(sqrt(3)/2) | `pi/3` |
| arcsin(1) | `pi/2` |
- 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.
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- Tangent : tan. The tan trigonometric function to calculate the tan of an angle in radians, degrees or gradians.