How do you convert $y = 3$ $y = 3$ to polar form?

Question

2785 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-24T06:28:27

$r = 3 csc θ$ $r=3csctheta$

To convert polar coordinates $(r, θ)$ $(r,theta)$ to rectangular coordinates $(x, y)$ $(x,y)$ the relation is

$x = r cos θ$ $x=rcostheta$ , $y = r sin θ$ $y=rsintheta$ , $r^{2} = x^{2} + y^{2}$ $r^2=x^2+y^2$

Hence $y = 3$ $y=3$ is equivalent to

$r sin θ = 3$ $rsintheta=3$ or

$r = \frac{3}{sin θ}$ $r=3/sintheta$ or $r = 3 csc θ$ $r=3csctheta$

How do you convert y = 3y=3 y = 3 to polar form?