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