Inverse Cosine Calculator

How to Use the Inverse Cosine (arccos) Calculator

Follow this step-by-step guide to effectively use the Inverse Cosine (arccos) Calculator to find angles given their cosine values.

Step 1: Enter the Cosine Value

To begin, you need to input the cosine value whose inverse cosine (arccos) you wish to calculate. You can find this field labeled as Cosine Value in the calculator interface.

• The allowed range for the cosine value is between -1 and 1, inclusive.
• Ensure the value you enter adheres to this range to get a valid result. A placeholder in the input field will remind you to only use values within this range.

Step 2: Choose the Output Angle Unit

Next, you need to select your desired output angle unit. This calculator provides two options for representing angles:

• Degrees: Select this option if you prefer to have the angle result in degrees.
• Radians: Choose this if you want the result in radians.

Select your preferred option from the drop-down menu labeled Output Angle Unit.

Step 3: Calculate the Result

Once you have entered a valid cosine value and selected the desired angle unit, the calculator will compute the angle. It will display the result in the chosen unit with a label Angle.

• The angle will be rounded to six decimal places for precision.
• Depending on your choice, the result will have either a degree symbol (°) or be marked as radians (rad).

The calculation is performed using the formula: angleUnit == ‘degrees’ ? acos(cosValue) * 180 / π : acos(cosValue), where π is a constant (approximately 3.141593).

Step 4: Understand the Domain Validity

Alongside the angle result, the calculator provides information on the validity of the input cosine value in the given domain. This is displayed under Domain Validity and checks:

• If the input value falls within the correct range, the message shown is “Valid input in domain [-1, 1]”.
• If the input is out of range, it will remind you with “Invalid input: cosine value must be between -1 and 1”.

This feature is especially useful for ensuring accurate computations and understanding the limitations of the cosine function.

By following these steps, you will be able to successfully use the Inverse Cosine (arccos) Calculator to determine angles from cosine values efficiently and accurately.