How do you convert $r secθ = 3$ to rectangular form?

Question

5840 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-19T10:17:43

$x^2+y^2-2x=0$

The relation between polar coordinates $(r,theta)$ and rectangular Cartesian coordinates $(x,y)$ are given by

$x=rcostheta$ and $y=rsintheta$ or $r^2=x^2+y^2$

Hence $rsectheta=3$ can be written as

$r/costheta=3$

or $r^2/(rcostheta)=3$

or $(x^2+y^2)/x=2$

or $x^2+y^2=2x$

or $x^2+y^2-2x=0$

How do you convert r secθ = 3r secθ = 3 to rectangular form?