Arithmetic Course/Non Linear Function/Circular Function

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Circular Function[edit]

Real Number[edit]

\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[edit]

\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