Question

1.      The equation in polar coordinates of an ellipse with semi-axes a and b is:

Answer 1

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

$$x=\rho cos\phi$$

$$y=\rho sin\phi$$

$$\rho=± \sqrt {\frac{a^2 b^2}{b^2cos^2\phi+a^2 sin^2 \phi}}$$