Calculator for the Cosine of a complex number
This function returns the cosine for an angle that is specified as a complex number.
To perform the calculation, enter the complex number. Then click on the 'Calculate' button.
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In the following description, \(z\) stands for the complex number. \(x\) stands for the real value \(Re\) and \(y\) for the imaginary value \(Im\).
\(\displaystyle cos(z) = cos(x) · cosh(y) - sin(x) · sinh(y)\)
Example
\(\displaystyle cos(z) = cos(3+5i)\)
\(Re = cos(3) · cosh(5) =-73.47\) \(Im = sin(3) · sinh(5) =-10.47\)
\(cos(3+5i) = -73.47-10.47i\)
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