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    Finding the equation of tangent

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    Find equation of tangent line in cartesian coordinates. Give in polar coordinates:

    r=3-2costheta, at theta=pie divided by 3.

    © BrainMass Inc. brainmass.com November 29, 2021, 11:53 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/finding-the-equation-of-tangent-7487

    Solution Preview

    The transformation formulas to cartesian system are
    <br>
    <br>x = r cos A, y = r sin A
    <br>
    <br>where we used A instead of theta convenience,
    <br>
    <br> r = 3-2Cos(A) at A = pi/3
    <br>
    <br>If A = pi/3,
    <br>
    <br> r = 3-2cos(pi/3) = 3-(2x0.5) = 3-1= 2 (because Cos 60 = 0.5)
    <br>
    <br>Now, x = r cos(pi/3) = 2 x 0.5 = ...

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