Cartesian equation of a cire

Question

Find the Cartesian equation of each of the following circles:

i. x=2cos(θ) , y=2sin(θ)

ii. x=1+cos(θ) , y=2+sin(θ)

iii. x=3+2cos(θ) ,y=5+2sin(θ)

Answer 1

Hello Dasmani,

I will get you started. In each equation, solve for either cos(Θ) or sin(Θ). Then square both sides of each of the two equations in each part. Next, add the two equations in each part together so that the right side will be sin²(Θ) + cos²(Θ) and I will assume you know what that equals!