Question

What is the polar equation of a horizontal line?

Answer 1

`r=c csctheta`

Explanation:

The relation between polar coordinates `(r,theta)` and Cartesian coordinates `(x,y)` is given by

`x=rcostheta` and `y=rsintheta`

The equation of a horizontal line is of the form `y=c`, where `c` is `y`-intercept, a constant.

Hence, in polar coordinates equation would be

`rsintheta=c` or `r=c csctheta`