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Math Help - Converting a Polar Equation to Rectangular

  1. #1
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    Converting a Polar Equation to Rectangular

    Hello, I do need help with a particular problem in my homework.

    The problem is theta = 4pi/3.

    I need to convert this equation to a rectangular equation.

    I get so antsy seeing theta = instead of r =.

    Thanks in advance to anyone who responds.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by Kimberley View Post
    The problem is theta = 4pi/3. I need to convert this equation to a rectangular equation.

    Hint : Corresponds to a half line. Find the equation.
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  3. #3
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    Quote Originally Posted by FernandoRevilla View Post
    Hint : Corresponds to a half line. Find the equation.
    Yes, I know what the equation is but I do not know how to convert the original equation algebraically. And that is what I need to do.
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  4. #4
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by Kimberley View Post
    Yes, I know what the equation is but I do not know how to convert the original equation algebraically. And that is what I need to do.

    y=\tan (4\pi/3)x\;(x<0) or y=\sqrt{3}x\;(x<0)
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  5. #5
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    Hopefully, you know that x= r cos(\theta) and y= r sin(\theta). From those, \frac{sin(\theta)}{cos(\theta)}= tan(\theta)= \frac{y}{x} and so y= tan(\theta)x.
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