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Math Help - Polar and rectangular coordinates

  1. #1
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    Polar and rectangular coordinates

    Any help is great. Steps or explanations are appreciated.


    1. The polar coordinates (8.1, 5.2) converted to rectangular coordinates.
    2. The rectangular coordinates (-.8, -2.1) converted to polar coordinates.
    3. X and Y represent rectangular coordinates. Write each equation using polar coordinates.

      1. x^2+y^2=x

      2. y^2=2x

      3. 4x^2y=1
    4. The letters r and θ represent polar coordinates. Write each equation using rectangular coordinates.

      1. r=sin\theta+1

      2. r=4
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  2. #2
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    Convert from one to the other using

     (x,y) = (r\cos(\theta),r\sin(\theta))

    where

    r = \sqrt{x^2+y^2}

     <br />
\theta = \tan^{-1}\left(\frac{y}{x}\right)<br />
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