This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# Csc

 Csc[z]gives the cosecant of z.
• 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.
The argument is given in radians:
Use Degree to specify an argument in degrees:
The argument is given in radians:
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Use Degree to specify an argument in degrees:
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 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:
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:
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:
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:
Machine-precision input is insufficient to give a correct answer: