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Hello can i get some help on how to transform this equation from a polar coordinate system to a rectangular coordinate system step by step please

 

r2=4rsin𝜃+5

 May 27, 2021
 #1
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Hello can i get some help on how to transform
this equation from a polar coordinate system
to a rectangular coordinate system
step by step please


\(r^2=4r\sin(\theta)+5\)

 

Formula:
\(\boxed{\sin(\theta)=\dfrac{y}{r}~ \text{or}~ y=r\sin(\theta)\\ r = \sqrt{x^2+y^2}}\)

 

\(\begin{array}{|rcll|} \hline r^2 &=& 4r\sin(\theta)+5 \\ x^2+y^2 &=& 4y+5 \\ \mathbf{x^2+y^2-4y-5} &=& \mathbf{0} \\ \hline \end{array}\)

 

laugh

 May 27, 2021

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