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Math Help - Curve Tracing

  1. #1
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    Smile Curve Tracing

    The equation of the curve is- r^2cos2(theta)=q^2
    Sorry I don't know to write this in Natural form but I just hope that I am clear enough
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  2. #2
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    Talking

    What are you supposed to do with this equation?
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  3. #3
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    Quote Originally Posted by stapel View Post
    What are you supposed to do with this equation?
    Make the cure mate..
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  4. #4
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    That's even more confusing!

    And what is "q"? Some constant?

    Do you know the identity " cos(2\theta)= cos^2(\theta)- sin^2(\theta)"? You can use that to write your equation as r^2cos^2(\theta)- r^2sin^2(\theta)= q and use the fact that x= r cos(\theta), y= r sin(\theta) to change to Cartesian coordinates. Looks like a hyperbola to me.
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  5. #5
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    Quote Originally Posted by HallsofIvy View Post
    That's even more confusing!

    And what is "q"? Some constant?

    Do you know the identity " cos(2\theta)= cos^2(\theta)- sin^2(\theta)"? You can use that to write your equation as r^2cos^2(\theta)- r^2sin^2(\theta)= q and use the fact that x= r cos(\theta), y= r sin(\theta) to change to Cartesian coordinates. Looks like a hyperbola to me.
    Yes q is constant..!!
    and the question is r^2cos^2(\theta)- r^2sin^2(\theta)= q^2 So I think it will be a rectangular hyperbola..??
    Please someone confirm the answer..!!
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  6. #6
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    Quote Originally Posted by stapel View Post
    What are you supposed to do with this equation?
    You have to make the curve with this. By making the curve I mean draw it by the equation
    (I was told to give a direct answer to the question)
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