gives the arc secant of the complex number .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • All results are given in radians.
  • For real outside the interval to , the results are always in the range to , excluding .
  • For certain special arguments, ArcSec automatically evaluates to exact values.
  • ArcSec can be evaluated to arbitrary numerical precision.
  • ArcSec automatically threads over lists.
  • ArcSec[z] has a branch cut discontinuity in the complex plane running from to .
Introduced in 1988