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Csc

Csc[z]
gives the cosecant of z.
MORE INFORMATION
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The argument of Csc is assumed to be in radians. (Multiply by Degree to convert from degrees.)
  • .
  • For certain special arguments, Csc automatically evaluates to exact values.
  • Csc can be evaluated to arbitrary numerical precision.
  • Csc automatically threads over lists.
EXAMPLESCLOSE ALL
Basic Examples   (4)
The argument is given in radians:
Use Degree to specify an argument in degrees:
The argument is given in radians:
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Click for copyable input
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Use Degree to specify an argument in degrees:
In[1]:=
Click for copyable input
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In[1]:=
Click for copyable input
Out[1]=
 
In[1]:=
Click for copyable input
Out[1]=
Scope   (11)
Evaluate numerically:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
The precision of the output can be much smaller or larger than the precision of the input:
Csc threads element-wise over lists and matrices:
Csc can take complex number inputs:
Simple exact values are generated automatically:
More complicated cases require explicit use of FunctionExpand:
Convert multiple-angle expressions:
Convert sums of trigonometric functions to products:
Expand assuming real variables:
Convert to complex exponentials:
TraditionalForm formatting:
Generalizations & Extensions   (4)
Csc can deal with real-valued intervals:
Infinite arguments give symbolic results:
Csc can be applied to power series:
Csc threads over explicit lists as well as over sparse arrays:
Applications   (2)
Generate a plot with poles removed:
Generate a plot over the complex argument plane:
Properties & Relations   (12)
Basic parity and periodicity properties of the cosecant function get automatically applied:
Use TrigFactorList to factor Csc into Sin and Cos:
Complicated expressions containing trigonometric functions do not automatically simplify:
Simplification with additional assumptions:
Compositions with the inverse functions:
Solve a trigonometric equation:
Solve for zeros and poles:
Numerically find a root of a transcendental equation:
Integrals:
Csc is automatically returned as a special case for many mathematical functions:
Calculate residue symbolically and numerically:
Csc is a numeric function:
Possible Issues   (4)
Machine-precision input is insufficient to give a correct answer:
Use arbitrary-precision evaluation instead:
A larger setting for $MaxExtraPrecision is needed:
Machine-number inputs can give high-precision results:
In traditional form, parentheses are needed around the argument:
Neat Examples   (6)
Various integrals and products:
Plot Csc at integer points:
Generate Csc from integrals and sums:
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