Cos Inverse Calculator

Step-by-Step Guide to Using the Cos Inverse (Arccos) Calculator

Step 1: Enter the Cos Value

Begin by locating the input field labeled Cos Value. This field requires you to input a numeric value. Make sure that the value you enter is within the range of -1 to 1, as this represents the domain for the cosine function in the real number system. The input field will not accept values outside this range.

Step 2: Select the Output Angle Unit

Next, move to the field labeled Output Angle Unit. Here, you need to select the unit in which you wish to receive the inverse cosine (arccosine) result. You have two options: Degrees and Radians. Choose the option that best suits your needs by clicking on the dropdown menu and selecting the desired unit.

Step 3: Calculate the Inverse Cosine

• If you selected Degrees: The calculator will compute the arccosine of the entered cosine value and convert the result from radians to degrees. The calculation is performed using the formula acos(cosValue) * 180 / π, and the result is displayed in degrees.
• If you selected Radians: The calculator will compute the arccosine of the entered cosine value directly in radians, displaying the result without conversion.

The result will be formatted to six decimal places for precision.

Step 4: Interpret the Quadrant Information

In addition to displaying the inverse cosine, the calculator provides information about the quadrant in which the angle lies:

• For Degrees: If the calculated angle is between 0° to 90°, it will display ‘First Quadrant (0° to 90°)’. If it falls between 90° to 180°, it will display ‘Second Quadrant (90° to 180°)’.
• For Radians: If the angle is between 0 to π/2, it will indicate ‘First Quadrant (0 to π/2)’. If it lies between π/2 to π, it will reveal ‘Second Quadrant (π/2 to π)’.

This information aids in understanding the trigonometric identity and the directionality of your angle on the unit circle.