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Inverse Trigonometric Functions Calculator (Degrees)

Find arcsin, arccos, and arctan of a value x in degrees and radians, with a unit circle.

Input

Enter a value x to compute arcsin, arccos, and arctan in degrees and radians.

Function to compute

arcsin and arccos take −1 to 1. arctan takes any real number.

Result

arcsin x (inverse sine) (x = 0.5)

30 deg

arcsin x (inverse sine)

Domain −1 to 1, range −90 to 90 deg

Angle (degrees)

30 deg

Radians

0.52359878

arccos x (inverse cosine)

Domain −1 to 1, range 0 to 180 deg

Angle (degrees)

60 deg

Radians

1.04719755

arctan x (inverse tangent)

Domain all real numbers, range −90 to 90 deg

Angle (degrees)

26.56505118 deg

Radians

0.46364761


arcsin and arccos are defined only when x is between −1 and 1. Values shown are principal values.

How it works

  • arcsin and arccos are defined only when the input x is between minus one and one. Outside that range no angle exists.
  • arctan is defined for every real number and returns an angle greater than minus ninety degrees and less than ninety degrees.
  • Principal values are used: arcsin from minus ninety to ninety degrees, arccos from zero to one hundred eighty degrees, and arctan from minus ninety to ninety degrees.
  • Degrees and radians are converted using the relation that one hundred eighty degrees equals pi radians.

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