How do you convert # x^2+y^2=9 # to polar form?
1 Answer
May 18, 2016
Explanation:
Using the formulae that links Cartesian to Polar coordinates.
#•x=rcostheta" and " y=rsintheta# Substitute these values into the equation.
#rArr(rcostheta)^2+(rsintheta)^2=9#
#rArrr^2cos^2theta+r^2sin^2theta=9# remove common factor of
#r^2#
#rArrr^2(cos^2theta+sin^2theta)=9# Using the trig. identity:
#cos^2theta+sin^2theta=1#
#rArrr^2=9#