Convert from Polar to Rectangular Form

Question

Convert the following from Polar to Rectangular Form:

 

r=3sinΘ(Theta)-4cosΘ(Theta)

Answer 1

r=3sinΘ-4cosΘ

r*r = 3r*sinΘ-4r*cosΘ

x²+y²= 3y - 4x(since x²+y²=r^r, y= rsinΘ and x= rcosΘ)