Question

How do you convert the polar equation `r=7sectheta` into rectangular form?

Answer 1

`x=7`

Explanation:

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

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

also `color(red)(|bar(ul(color(white)(a/a)color(black)(sectheta=1/(costheta))color(white)(a/a)|)))`

`rArrr=7sectheta=7/(costheta)`

`rArrrcostheta=7rArrx=7`

which is a vertical line, parallel to the y-axis.