Arctan Calculator

Arctan Calculator

The Artctangent calculator is also referred to as the inverse tan calculator. It is used to calculate the inverse of a tangent. It has a single text field and active controls that perform different functions of the calculator. The equal sign (=) and the ‘Calculate’ button have the same function and are used to execute the calculations. The accuracy of the results will depend on the values entered in the text fields. The ‘Reset’ button is used to clear all data of the previous calculations from the text fields. The results of the inverse of the tangent will be indicated below the two controls. This calculator also gives you the method used in performing the calculation.

The first step is to enter the Arctan (x) value in the blank text field. Proceed to the combo box where you select the type of results. It can either be presented in degrees or radians (rad). Press the ‘calculate’ button or the equal sign to execute the calculation. You will get the inverse tan results and calculation procedures used by the calculator.

For Example

Determine the inverse tan of 0.2 degrees

Solution

You will enter 0.2 as the arctan value in the blank text field and then press the equal sign.

The results will be displayed as; 11.30993247°

Calculation

Arctan 0.2 = tan⁻¹ 0.2 = 11° 18' 35.757"

= 11.30993247°+k×180° (k=...-1, 0, 1...)

= -168.69006753°, 11.30993247°, 191.30993247°.

= 0.19739556rad+k×π (k=...-1, 0, 1...)

= -0.93716704π, 0.06283296π, 1.06283296π.

If it you selected the radian as the result type, the results will be; 0.19739556 rad

Formula

The Arctangent calculator utilizes particular formulas in performing the calculations.

Where; Arctan (y) = tan-1 (y) = x + k∏. It means that the arctangent function is the inverse function of y = tan (x). The ‘Reset’ button will be useful when you want to perform new calculations.