Inverse Trigonometric Functions Calculator

Your details

Choose the inverse trigonometric function. arcsin and arccos require a value between -1 and 1. arcsec and arccsc require |x| >= 1. arctan and arccot accept any real number.
The ratio or real number to evaluate. Domain varies by function: arcsin/arccos need x in [-1, 1]; arcsec/arccsc need |x| >= 1; arctan/arccot accept any x.
Result (degrees)
30deg

Principal value in degrees

Result (radians)0.523599rad
As a fraction of pipi/6
Valid domain-1 <= x <= 1
Output range (degrees)-90 deg to 90 deg

arcsin(0.5) = 30.0000 degrees = 0.523599 radians

  • The principal value is 30.0000 degrees, which equals 0.523599 radians (exactly pi/6).
  • Recall that arcsin is only defined for x in [-1, 1] because sine and cosine always output values in that range.
  • Complementary relationship: arccos(0.5) = 60.0000 deg (they sum to 90 deg).

Next stepUse the step-by-step panel below to see how to verify this result by applying the forward trig function to your answer.

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