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Math Help - HELP! Change to rectangular form!

  1. #1
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    HELP! Change to rectangular form!

    Change to rectangular form
    Show all work

    r = 4/(2+cosx)
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  2. #2
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    Quote Originally Posted by Liquidpyro911 View Post
    Change to rectangular form
    Show all work

    r = 4/(2+cos @)
    Remember r^2 = x^2+y^2 and r\cos \theta = x.
    Given, r = \tfrac{4}{2+\cos \theta} multiply by denominator r(2+\cos \theta) = 4.
    Open paranthesis, 2r+r\cos \theta = 4 \implies 2r + x = 4 \implies 2r = 4-x.
    Square both sides, (2r)^2 = (4-x)^2 \implies 4r^2 = (4-x)^2 \implies 4(x^2+y^2) = (4-x)^2.
    Now simplify.
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