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Math Help - more hyperbolic function questions

  1. #1
    Super Member
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    more hyperbolic function questions

    Hi

    I need help on the following:

    1)Given sinh(u) = 2 and sinh(u) = 7 evaluate sinh(u-v)

    I used sinh(u-v) = sinh(u)cosh(v) - cosh(u)sinh(v) but still was not unable to get the final values.

    2) Given the parmaetric equations x=2cos(t), y=3sin(t) use the identity cos^2(t) + sin^2(t) = 1

    This is what i have done:
    <br />
2x^2 + 3y^2 = 1

    Can someone tell me why this is incorrect and this is correct:
    \frac{x^2}{4}+\frac{y^2}{9} = 1

    P.S
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  2. #2
    Senior Member Stroodle's Avatar
    Joined
    Jun 2009
    Posts
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    For the second one:

    \frac{x}{2}=cos(t) and \frac{y}{3}=sin(t)

    so,

    \left (\frac{x}{2}\right)^2=cos^2(t) and \left ( \frac{y}{3}\right )^2=sin^2(t)

    \therefore \frac{x^2}{4}+\frac{y^2}{9}=1
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