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Eliminate the parameter????

Eliminate the parameter 
 x=4+2 cos∅
  y=1+2 sin∅
I think i can solve it like this but i am not sure
x=4+2cos∅
x-2=4cos∅
x-2/4=cos∅
 

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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 X = 4 + 2 Cos θ
 Y  = 1 + 2 Sin θ
 
    (X- 4 ) /2 = Cos θ
    ( Y -1 )/ 2 = Sin θ
 
  ( X-4 ) ^ 2   +  ( Y - 1 ) ^2 = Cos ^2 θ + Sin ^2 θ
        4                   4 
 
   ( X - 4 ) ^2 + ( Y -1 ) ^2 = 4
 
  Equation of a circle centered @ ( 4 , 1 ) with radius 2