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Inverse Trigonometric Functions (Radians)

Compute arcsin, arccos, and arctan of a value x in radians and degrees, with domain and range for each function.

Input

Enter a value x to compute the principal values of arcsin, arccos, and arctan in radians, with the degree equivalents shown alongside.

arcsin and arccos are defined for x between -1 and 1

Result

arctan x (radians)

0.46364761

Unit: radians (rad)

arctan x = 0.46364761

arcsin x

radians

0.52359878

degrees

30 deg

Domain: -1 ≤ x ≤ 1 / Range: -π/2 ≤ y ≤ π/2

arccos x

radians

1.04719755

degrees

60 deg

Domain: -1 ≤ x ≤ 1 / Range: 0 ≤ y ≤ π

arctan x

radians

0.46364761

degrees

26.56505118 deg

Domain: all real numbers / Range: -π/2 to π/2


Angles use radians as the principal value; degrees are obtained by multiplying by 180 divided by pi.

How it works

  • arcsin x and arccos x give real values only when x is between -1 and 1 inclusive.
  • arctan x is defined for every real number x.
  • Principal ranges are -pi/2 to pi/2 for arcsin, 0 to pi for arccos, and -pi/2 to pi/2 for arctan.
  • To convert radians to degrees, multiply by 180 divided by pi.

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