Arithmetic Course/Non Linear Function/Circular 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