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Csc






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Elementary Functions > Csc[z] > Introduction to the Cosecant Function





Definition of the cosecant function for a complex argument

In the complex ‐plane, the function is defined using or the exponential function in the points and through the formula:

In the points , where is zero, the denominator of the last formula equals zero and has singularities (poles of the first order).

Here are two graphics showing the real and imaginary parts of the cosecant function over the complex plane.