CalcArcSin

CalcArcSin

CalcArcSin[ x ] calculates the inverse sine of a number as an angle, in radians or degrees.

Usages

CalcArcSin[ x ]

CalcArcSin[ x ] calculates the inverse sine of x as a decimal number of radians. x must be a decimal number with a fractional part, such as 0.5 (see the warning below).

Example in out
The angle in radians. CalcArcSin[ 0.5 ] 0.523598775598

CalcArcSin[ x, Variant=>'deg' ]

With the option Variant=>'deg', the angle is given in degrees.

Example in out
The angle in degrees. CalcArcSin[ 0.5, Variant=>'deg' ] 30
Options

Variant

'deg' to get the angle in degrees. Default: radians.

Syntax Example out
CalcArcSin[ x, Variant=>'deg' ] CalcArcSin[ 0.5, Variant=>'deg' ] 30
Details
  • Outside the domain: a value outside [-1, 1] gives NaN: CalcArcSin[ 1.5 ] gives NaN.
  • Variables: CalcArcSin[ x ] with a variable x is left unevaluated.
Warning

CalcArcSin only calculates decimal numbers with a fractional part. CalcArcSin[ 1 ] and CalcArcSin[ 1.0 ] (which counts as the whole number 1) are left unevaluated, also with Variant=>'deg'. Use Numerical to calculate them: Numerical[ CalcArcSin[1] ].

See also: Numerical, CalcSin, CalcCos, Math functions