Calculus

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How can I convert polar coordinates to rectangular coordinates?

  • Calculus -

    suppose you have a point (r,Ø)

    Join the point to the origin and complete the right-angled triangle.
    Call the point (r,Ø) as (x,y) in the rectangular system.

    then
    r^2 = x^2 + y^2
    and tanØ = y/x

    also :
    x/r = cosØ ---> x = rcosØ
    y/r=sinØ ---> y = rsinØ

    Depending on the equation, you sometimes have to be very creative in converting from one system to the other.
    Do you have an example?

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