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Math Help - Hyperbolic Function (Simultaneous Equation)

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    Hyperbolic Function (Simultaneous Equation)

    Q: If x and y satisfy the equations

    \mathrm{cosh}x \mathrm{cosh}y = 2
    \mathrm{sinh}x \mathrm{sinh}y = -1

    Show that x = -y = \pm \ln (1 + \sqrt{2})
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    My Problem: I did this question by changing the hyperbolic function in terms of e but did not get the correct answer. Can someone do this question and show me how they obtained the correct answer? Thanks in advance.
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    Quote Originally Posted by Air View Post
    Q: If x and y satisfy the equations

    \mathrm{cosh}x \mathrm{cosh}y = 2
    \mathrm{sinh}x \mathrm{sinh}y = -1

    Show that x = -y = \pm \ln (1 + \sqrt{2})
    __________________
    My Problem: I did this question by changing the hyperbolic function in terms of e but did not get the correct answer. Can someone do this question and show me how they obtained the correct answer? Thanks in advance.
    What about this :

    \cosh(x+y)=\cosh x \cosh y+\sinh x \sinh y ?

    And then transforming it into exponentials
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