ACos - Arccosine (inverse cosine)
Online calculator for calculating the angle to the cosine
The calculator on this page calculates the inverse cosine for real numbers. Trigonometric functions for complex numbers can be found in the complex numbers section.
To calculate, enter the value of the cosine to which the angle should be calculated and click on the Calculate button. The unit of measurement for the result can be switched between degrees and radians.
|
Inverse cosine, scale in radians
Input
The value of the argument must be between -1 and +1.
Result
The result is given in degrees (full circle = 360°) or radians / radians (full circle = 2 π). The unit of measurement used is set to degrees or radians at the top of the menu.
Description of the arc cosine
The arc cosine (\( Arccos\) or \( Acos\)) is the inverse of the cosine function. It calculates the angle for a given cosine value. Acos(x) returns the corresponding angle in radians.
Calculation of the cosine value of an angle
The cosine is a trigonometric function related to a right triangle. In a right triangle, the cosine of an angle α is the ratio of the length of the adjacent side to the hypotenuse.
\(\displaystyle \cos(\alpha) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}\)
Example
The assumption is a right-angled triangle with an adjacent side \(b = 6\) and the hypotenuse \(c = 20\). The cosine of α is calculated:
\(\displaystyle \cos(\alpha) = \frac{6}{20} = 0.3\)
Please note that the cosine value is always between -1 and 1, and an angle of 90 degrees has a cosine value of 0.
To calculate the angle from radians to degrees, the following formula is used:
\(\displaystyle \frac{\cos(\alpha) · 180 }{π} \)
For the example above: \(\displaystyle \ \ \frac{0.3 · 180 }{3.14} ≈ 17.189 °\)
IT Functions
Decimal, Hex, Bin, Octal conversion • Shift bits left or right • Set a bit • Clear a bit • Bitwise AND • Bitwise OR • Bitwise exclusive ORSpecial functions
Airy • Derivative Airy • Bessel-I • Bessel-Ie • Bessel-J • Bessel-Je • Bessel-K • Bessel-Ke • Bessel-Y • Bessel-Ye • Spherical-Bessel-J • Spherical-Bessel-Y • Hankel • Beta • Incomplete Beta • Incomplete Inverse Beta • Binomial Coefficient • Binomial Coefficient Logarithm • Erf • Erfc • Erfi • Erfci • Fibonacci • Fibonacci Tabelle • Gamma • Inverse Gamma • Log Gamma • Digamma • Trigamma • Logit • Sigmoid • Derivative Sigmoid • Softsign • Derivative Softsign • Softmax • Struve • Struve table • Modified Struve • Modified Struve table • Riemann ZetaHyperbolic functions
ACosh • ACoth • ACsch • ASech • ASinh • ATanh • Cosh • Coth • Csch • Sech • Sinh • TanhTrigonometrische Funktionen
ACos • ACot • ACsc • ASec • ASin • ATan • Cos • Cot • Csc • Sec • Sin • Sinc • Tan • Degree to Radian • Radian to Degree
|
|