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based on an earlier version of the Wolfram Language.
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gives the arc cosecant of the complex number .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • All results are given in radians.
  • For real z outside the interval to , the results are always in the range to , excluding 0.
  • For certain special arguments, ArcCsc automatically evaluates to exact values.
  • ArcCsc can be evaluated to arbitrary numerical precision.
  • ArcCsc automatically threads over lists.
  • ArcCsc[z] has a branch cut discontinuity in the complex plane running from to .
Results are in radians:
Series expansion:
Results are in radians:
Click for copyable input
Click for copyable input
Series expansion:
Click for copyable input
Evaluate numerically:
Evaluate for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Simple exact values are generated automatically:
Parity transformations are automatically applied:
TraditionalForm formatting:
ArcCsc can deal with real-valued intervals:
Infinite arguments give symbolic results:
ArcCsc can be applied to power series:
Find series expansions at branch points and branch cuts:
ArcCsc threads over explicit lists as well as over sparse arrays:
Branch cut of ArcCsc runs along the real axis:
Compose with inverse functions:
Use PowerExpand to disregard multivaluedness of the ArcCsc:
Alternatively, evaluate under additional assumptions:
Use TrigToExp to express in terms of logarithm:
Use ExpToTrig to convert back:
Use FunctionExpand to convert trigs of arctrigs into an algebraic function:
Simplify result:
Use Reduce to solve equations involving ArcCsc:
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