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Math Help - Rectangular to Polar Form?

  1. #1
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    Rectangular to Polar Form?

    How do I convert y = x^2 to polar form?

    Thank you, I really appreciate it.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by iluvmathbutitshard View Post
    How do I convert y = x^2 to polar form?

    Thank you, I really appreciate it.
    Hi iluvmathbutitshard,

    Convert y=x^2 into polar form.

    In this case there really isnít much to do other than plugging in the formulas for x and y.

    x=r\cos\theta \:\:and\:\:y=r\sin \theta

    r\sin \theta=(r\cos \theta)^2

    r^2 \cos^2 \theta=r\sin \theta

    r\cos^2 \theta=\sin \theta

    r=\frac{\sin \theta}{\cos^2 \theta}
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  3. #3
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    Thank you for answering. This is actually the answer I got, but does it translate into a different identity? Because the choices I have been given are:
    r = cot(theta) csc(theta)
    r = tan(theta) sec(theta)
    r = tan(theta)
    r = cot(theta)
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  4. #4
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    Quote Originally Posted by iluvmathbutitshard View Post
    Thank you for answering. This is actually the answer I got, but does it translate into a different identity? Because the choices I have been given are:
    r = cot(theta) csc(theta)
    r = tan(theta) sec(theta)
    r = tan(theta)
    r = cot(theta)
    Yes.

    r=\frac{\sin \theta}{\cos^2 \theta} \Longrightarrow \frac{\sin \theta}{\cos \theta}\cdot \frac{1}{\cos \theta}={\color{red}\tan \theta \sec \theta}
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