Arccos Calculator

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Arccos calculator

The Arccos (x) is also referred to as the inverse cosine calculator. It is used to calculate the inverse of a cosine. This calculator has a single text field and there controls. The equal sign (=) performs the same function as the ‘Calculate’ button. It is used to execute the conversions based on the value entered in the text field. The ‘Reset’ button is used to clear the previous calculations from the text fields giving enough space for new conversions. The result will be displayed below the two controls in degrees or radians.

The first step is to enter the arccos (x) value in the initial text field. Proceed to the ‘Result’ platform and select the type of results as degrees (°) or radians (rad). Afterwards, click on the equal sign or ‘Calculate’ button to execute the conversion. The calculator will display the results and method used in calculation.

For example;

Determine the inverse cosine of 0.2 in degrees

Solution;

You will first enter the input value in the arccos text field and then click the equal sign or the ‘Calculate’ button. The result will be; 78.46304097°

Calculation;

Arccos 0.2 = cos⁻¹ 0.2 = 78° 27' 46.947"

= 78.46304097° + k×360° (k=...-1, 0, 1...)

= -281.53695903°, 78.46304097°, 438.46304097°,

= 1.36943841rad + k×2π (k=...-1, 0, 1...)

= -1.56409422π, 0.43590578π, 2.43590578π.

Formula

The Arccos calculator uses a simple formula in performing the calculations.

Where; arccos (x) = cos -1 (x). It means that the arccosine function is the inverse function of cos (x).

If arccos 0.2 is calculated in radians, the result will be;

= 1.36943841 rad

Calculation;

Arccos 0.2 = cos⁻¹ 0.2 = 78° 27' 46.947"

= 78.46304097° + k×360° (k=...-1, 0, 1...)

= -281.53695903°, 78.46304097°, 438.46304097°.

= 1.36943841rad + k×2π (k=...-1, 0, 1...)

= -1.56409422π, 0.43590578π, 2.43590578π.

You can always perform other calculations in lesser time by coordinating the ‘Calculate’ and ‘Reset’ buttons.