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Help With IA on Complex Numebers


Saguaro

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Hello, I am doing my Maths exploration on complex numbers and I am about half finished and I want to explore the trigonometric and hyperbolic functions of complex numbers as well as the integration (and possibly logs) however I don't quite know what to do with it. As I can find the cos of a complex number but what then? Roots can be shown on an Argand diagram but the trigonometric functions usually just give rise to triangles with legs longer than the hypotenuse and complex angles. Could anyone advise me on how to proceed?

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