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Math Help - Finding maximum r-values of ploar equations

  1. #1
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    Exclamation Finding maximum r-values of ploar equations

    How do you find the maximum of r and any zeros? My math teacher did not explain this well at all..

    r= 8(√3-2sinΘ)
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  2. #2
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    Quote Originally Posted by jumpman23 View Post
    How do you find the maximum of r and any zeros? My math teacher did not explain this well at all..

    r= 8(√3-2sinΘ)
    I am sure that you would agree that r = 0 when (rad3 - 2sin(theta))= 0 yes?
    So:
    rad[3] - 2sin[theta] = 0
    2sin[th] = rad[3]
    sin[th] = (rad[3])/2
    So now you need the sin inverse of rad three over two. Keep in mind that there are two correct answers or you can use pi2k.
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  3. #3
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    Quote Originally Posted by jumpman23 View Post
    How do you find the maximum of r and any zeros? My math teacher did not explain this well at all..

    r= 8(√3-2sinΘ)
    r = 0: Solve 0 = \sqrt{3} - 2 \sin \theta.

    Maximum value of r: Get it by inspection - Draw a graph of r = \sqrt{3} - 2 \sin \theta. Note that r is the vertical axis and \theta is the horizontal axis. Note: This is not the same as the the graph of the polar curve (which is drawn on a set of xy-coordinate axes).
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  4. #4
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    for y = Asin(x)+B

    y_{min} = B+A

    y_{max} = B-A

    expand your equation and it will be in this form.
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