How do you convert #y=x^2# into a polar equation?
1 Answer
Jan 20, 2016
# r = tanthetasectheta #
Explanation:
using the links between Cartesian and Polar coordinates.
# • x = rcostheta #
# • y = r sintheta # We can now write the above equation as :
# r sintheta = ( r costheta )^2 = r^2 cos^2theta # (dividing both sides by r )
#( rsintheta)/r = (r^2cos^2theta)/r #
# sintheta = rcos^2theta #
#rArr r = sintheta/costheta xx 1/costheta = tantheta sectheta #
