How do you convert #rsinθ=10# into a rectangular equations?

1 Answer
Mar 25, 2018

#y=10#

Explanation:

You need to know these coordinate conversions between Cartesian and polar coordinates:

#x=r\cos\theta#

#y=r\sin\theta#

#r=\pm\sqrt{x^2+y^2}#

#tan\theta=y/x#

The last two equations have some ambiguity because the polar coordinates #(r,\theta)# and #(-r,\theta+180°)# correspond to the same point in the coordinate plane.