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Math Help - Asymptote of polar curve

  1. #1
    Member roshanhero's Avatar
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    Asymptote of polar curve

    Find the asymptote of


    2r^2=tan2α
    How to find it?
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  2. #2
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    Quote Originally Posted by roshanhero View Post
    Find the asymptote of


    2r^2=tan2α
    How to find it?
    Linear oblique asymptotes of the form \alpha = \beta occur for values of \alpha that make \tan (2 \alpha) undefined.

    And you know when \tan (2 \alpha) is undefined, right .....?
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  3. #3
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    Hello, roshanhero!

    Find the asymptotes of: . 2r^2\:=\:\tan2\theta

    In polar coordinates, asymptotes occur where r \to \infty

    We have: . r^2 \;=\;\frac{1}{2}\tan2\theta

    We see that asymptotes occur where: 2\theta \:=\:\frac{\pi}{2} + \pi n \quad\Rightarrow\quad \theta \:=\:\frac{\pi}{4} + \frac{\pi}{2}n

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  4. #4
    Member roshanhero's Avatar
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    I am terribly sorry,but I simply could not get it at all.I think I can easily find the horizontal,vertical and oblique asymptotes of the cartesian curve but I just don't have any concept regarding of finding asymptotes of the polar curve.Please explain it to me from the scratch.
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  5. #5
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    Quote Originally Posted by roshanhero View Post
    I am terribly sorry,but I simply could not get it at all.I think I can easily find the horizontal,vertical and oblique asymptotes of the cartesian curve but I just don't have any concept regarding of finding asymptotes of the polar curve.Please explain it to me from the scratch.
    What part of the discussion do you not understand? Do oyu know how to solve a trigometric equation such as \cos (2 \theta) = 0 ?

    It may be that you're weak in the mathematical background assumed for these sorts of problems. In which case you're best advised to go back and revise the prerequisite mathematical concepts.
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  6. #6
    Member roshanhero's Avatar
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    We have been teached to find the asymptotes of polar curve by using formula-
    Rsin(q -a )=1/f'(a )
    Where a denotes the roots of f (q )=0
    I appiled it but failed.
    Can we show me how to do it by using this formula.
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