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

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Answer 1 · 2016-09-15T10:20:28

$x=4$

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 $x=4$

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