## anonymous one year ago what is r= 60+60 sin(theta) in rectangular form?

• This Question is Open
1. anonymous

We know that $$r^2=x^2+y^2$$ and $$y=r\sin\theta$$, so that's something we can start with. Multiplying both sides of the equation by $$r$$ gives us an equation that contains these two expressions. $r^2=60r+60r\sin\theta~~\iff~~x^2+y^2=60r+60y$ Knowing that $$r^2=x^2+y^2$$ tells us that $$r=\sqrt{x^2+y^2}$$, so we can replace the $$r$$ as well. $x^2+y^2=60\sqrt{x^2+y^2}+60y$