What is the polar form of the equation x^2=5y?

1 Answer
Mar 16, 2018

#r=5tanthetasectheta#

Explanation:

use the transformation formulae

#r^2=x^2+y^2#

#x=rcostheta#

#y=rsintheta#

#x^2=5y#

#(rcostheta)^2=5rsintheta#

#r^2cos^2theta=5rsintheta#

#rcos^2theta=5sintheta#

#r=5sintheta/(costhetacostheta)#

#r=5tanthetasectheta#