Question

Convert the rectangular equation x^2 + y^2 = 2y to polar form

Answer 1

Answer:

c) r= 2sin θ

Step-by-step explanation:

Remember, $r=\sqrt{x^2+y^2}$

therefore,$r^2=x^2+y^2$

Also y= rsin θ

Given rectangular equation:

x²+y²+ 2y

r²= 2(rsin θ)

r²= 2rsin θ

dividing r from both sides

r= 2sin θ