Arithmetic Course/Non Linear Function/Circular Function

Circular Function

{\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

{\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

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