Question

How do you convert `r = 4/cos(theta)` to rectangular form?

Answer 1

`x=4`

Explanation:

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

`x=rcostheta` and `y=rsintheta`

Hence, as `r=4/costheta`,

we have `rcostheta=4`

or `x=4`