Komplexné číslo: Rozdiel medzi revíziami

Majme dané komplexné číslo '''z''' = ''a + b'''''i''', potom:

:<math>\sin z = \sin a \cosh b + \mathbf{i} \cos a \sinh b</math>

:<math>\tan z = \frac{\operatorname{sech}^2 b \tan a + \mathbf{i} \sec^2 a \tanh b}{1 + \tan^2 a \tanh^2 b}</math>

:<math>\cot z = \frac{1}{\tan z} = \frac{1 + \tan^2 a \tanh^2 b}{\operatorname{sech}^2 b \tan a + \mathbf{i} \sec^2 a \tanh b}</math>