Asked by ct
                Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.
x=4+2cos(theta) y=-1+2sin(theta)
            
        x=4+2cos(theta) y=-1+2sin(theta)
Answers
                    Answered by
            Steve
            
    cosθ = (x-4)/2
sinθ = (y+1)/2
(x-4)^2 + (y+1)^2 = 4
it's easy to see why this drops out if you rewrite the original equations as
(x-4) = 2cosθ
(y+1) = 2sinθ
So, it's the regular equation for a circle, but centered at (4,-1) instead of (0,0)
    
sinθ = (y+1)/2
(x-4)^2 + (y+1)^2 = 4
it's easy to see why this drops out if you rewrite the original equations as
(x-4) = 2cosθ
(y+1) = 2sinθ
So, it's the regular equation for a circle, but centered at (4,-1) instead of (0,0)
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