Arithmetic Course/Non Linear Function/Circular Function

Real Number

 * $$\frac{x^2}{a} + \frac{y^2}{b} = 1$$

When x = 0
 * $$ y = \pm \sqrt{b}$$

When y = 0
 * $$ x = \pm \sqrt{a}$$

Further, when
 * a = b . The function above is a Circular Function
 * a > b . The function above is a Elliptical Function
 * a < b . The function above is a Elliptical Function

Complex Number

 * $$\frac{x^2}{a} - \frac{y^2}{b} = 1$$

When x = 0
 * $$ y = \pm \sqrt{-b}$$
 * $$ y = \pm j\sqrt{b}$$

When y = 0
 * $$ x = \pm \sqrt{-a}$$
 * $$ y = \pm j\sqrt{a}$$

The function above is a Circular Function in a Complex number