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Convert the function into rectangular form. Show all work for credit.

\(r=3sin\theta \)

 Apr 22, 2024
 #1
avatar+128794 
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r = 3sin θ

 

r = 3 (y / r)

 

r^2 = 3y

 

x^2 + y^2  = 3y

 

x^2 + y^2 - 3y  = 0            complete the square on  y

 

x^2 + y^2 - 3y + 9/4  = 9/4

 

x^2 + ( y - 3/2)^2  = 9/4

 

cool cool cool

 Apr 23, 2024

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