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    I need to answer a question, which involves me parametrising the hyperbola x^2 - y^2 = 1, z = 0 from (1,0,0) to (2,root3,0). I have already done the parametrisation, however I am not sure how to work out the limits for my new parametrised function. :confused:

    Can anybody help me with this?
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    Does it have something to do with the triangle with hypotenuse 2, height root 3, and base 1? Any ideas?
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    (Original post by DavidLUFC)
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    What parameterization did you come up with?

    That will effect what limits you will have.
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    The parameterisation is (cosh(t), sinh(t), 0).

    So what will this make the limits as?
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    So, you need to work out what the value of t is such that your parameterized form is equal to (1,0,0). That should be fairly obvious.

    Similarly what value produces (2,root3,0); a little harder, but not much.

    Enough?
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    Thanks! I got it.
 
 
 

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