Question

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

a) r= 4 sin theta

b) r= 2 cos theta

c) r= 2 sin theta

d) r= 2 sec theta

Answer 1

b on edge 2022

Explanation:

Answer 2

c) r= 2sin θ

Explanation:

Remember,
`r=√(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