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Math Help - cartesian and polar coordinate question

  1. #1
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    cartesian and polar coordinate question

    question is: Find the Cartesian coordinates corresponding to (4 pi/6) and polar coordinates corresponding to (-3, sqrt(3) )

    i've attached some work to the problem,

    ImageShack - Hosting :: untitledui2.png

    however, is the tan-theta the answer then?
    also, i'm confused where the 5pi/6 came from?

    what part is where i can stop? which part is the answer?

    thanks
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  2. #2
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    Quote Originally Posted by rcmango View Post
    question is: Find the Cartesian coordinates corresponding to (4 pi/6) and polar coordinates corresponding to (-3, sqrt(3) )

    i've attached some work to the problem,

    ImageShack - Hosting :: untitledui2.png

    however, is the tan-theta the answer then?
    also, i'm confused where the 5pi/6 came from?

    what part is where i can stop? which part is the answer?

    thanks
    The first problem is correct.

    For the second, consider
    tan(theta) = sqrt{3}/3

    What angle (theta) is this? (theta) = (pi)/6 rad.

    But we need (theta) for tan(theta) = -sqrt{3}/3. The reference angle is (pi)/6 rad and tangent is negative in QII. So (theta) = (pi) - (pi)/6 = 5(pi)/6 rad.

    -Dan
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