How do you write the equation using polar coordinates given $x^2=4y$ ?

Question

9006 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-11T01:18:36

Substitute $rcos(theta)$ for x and $rsin(theta)$ for y.

Answer: $r = 4sin(theta)/cos^2(theta)$

Substitute $rcos(theta)$ for x and $rsin(theta)$ for y:

$(rcos(theta))^2 = 4(rsin(theta))$

$r^2cos^2(theta) = 4rsin(theta)$

Divide both sides by $rcos^2(theta)$ :

$r = 4sin(theta)/cos^2(theta)$

How do you write the equation using polar coordinates given x^2=4yx^2=4y?