Question

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

Answer 1

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

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

Explanation:

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)`