Arccos Calculator

How to Calculate or Solve Arccos (Inverse Cosine)

Arccos, also written as cos^-1, is the inverse of the cosine function. It gives you the angle whose cosine is a given number.

Formula:

arccos(x) = θ where -1 ≤ x ≤ 1 and θ is the angle whose cosine is x.

If cos(θ) = x, then arccos(x) = θ. You are solving for the angle θ.

Steps to Solve Arccos:

1. Make sure the input value (x) is between -1 and 1.
2. Use a calculator or math tool to compute the arccos of the value.
3. The result will be in radians. Multiply by (180 / π) to convert it to degrees.

Example:

To calculate arccos(0.5):

arccos(0.5) = 1.0472 radians = 60°

Key Notes:

• arccos returns an angle between 0 and π radians (or 0° and 180°).
• It’s the inverse of cosine, not the reciprocal.
• The domain is -1 ≤ x ≤ 1, and the range is 0 ≤ θ ≤ π.