Question

How do you write the polar equation `r=-sectheta` in rectangular form?

Answer 1

`x=-1`

Explanation:

To convert from `color(blue)"polar to rectangular form"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(x=rcostheta , y=rsintheta)color(white)(2/2)|)))`

and `color(red)(bar(ul(|color(white)(2/2)color(black)(sectheta=1/costheta)color(white)(2/2)|)))`

`rArrr=-1/costheta`

`rArrrcostheta=-1rArrx=-1`

Which is a vertical line parallel to the y-axis.