how to convert rectangular to polar? x²=y(8-y)​

Question

how to convert rectangular to polar?
x²=y(8-y)​

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Audrey 2 weeks 2021-11-20T12:21:56+00:00 1 Answer 0 views 0

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    2021-11-20T12:23:50+00:00

    Answer:

    The Polar form  is  r = 8sin θ

    Step-by-step explanation:

    Explanation:-

    • The Polar co-ordinate system is a two – dimensional co-ordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.
    • The reference point is called the pole
    • The ray from the pole in the reference direction is the polar axis

    Polar co-ordinates

                  x = r cos θ    and      

                   y=r sin θ      

    now       x^{2} +y^{2} = r^{2}

                   tan θ = \frac{y}{x}

    Now given equation x²=y(8-y)​

                                      x^{2} = 8y-y^{2}

                                      x^{2} +y^{2} = 8y   …(i)

    now The equation(i)  convert to polar

                                          r² = 8(r sin θ)

                                          r = 8sin θ

    Conclusion:-

    The Polar form is  r = 8sin θ

         

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