Inverse Cosine (arccos) Calculator

Result in Degrees:

60°

Result in Radians:

1.0472

Understanding Inverse Cosine (arccos)

What is Inverse Cosine?

The inverse cosine function (arccos) is the inverse operation of cosine. It returns the angle whose cosine is equal to a given value. The domain of arccos is limited to [-1, 1], and its range is [0, π] radians or [0°, 180°].

Key Properties

  • Domain: [-1, 1]
  • Range: [0, Ï€] radians or [0°, 180°]
  • arccos(1) = 0° or 0 radians
  • arccos(0) = 90° or Ï€/2 radians
  • arccos(-1) = 180° or Ï€ radians

Common Applications

Inverse cosine is commonly used in:

  • Trigonometry and geometry calculations
  • Physics problems involving angular measurements
  • Engineering applications
  • Navigation and positioning systems