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Sec






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Elementary Functions > Sec[z] > Introduction to the Secant Function





Definition of the secant 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 has zeros, 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 secant function over the complex plane.





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