Write the equations: (1) x^2(x^2+y^2)=2y^2 (2) y=4 (3) x^2+y^2=3 (4) x^2+y^2+4x=0 in polar coordinates. Express as a function of t. r>0.

Question

I have no idea how to solve this :(

Answer 1

x = r sin θ

y = r cos θ

 

Substitute and simplify.

 

Done