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Math Help - Determine Components of Metrix Tensor Relative to a Basis

  1. #1
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    Determine Components of Metrix Tensor Relative to a Basis

    Please see attached picture. I completed question 2 successfully (I think), but am having trouble with question 3.

    It seems question 2 came out nicely because there were some trig identities I could use to cancel out terms. However, this does not appear to be the case with 3. I got that the basis is not orthonormal, however, it seems like the components of the metric tensor will be huge long expressions. Is this the case, or am I missing a trig identity here?

    Any help would be appreciated and thanks in advance!
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  2. #2
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    Re: Determine Components of Metrix Tensor Relative to a Basis

    In particular, I am wondering how to simplify the following expression:

    [(a^2sinh(x)sinh(y)cosh(x)cosh(y))+(a^2cosh(x)cosh( y)sinh(x)sinh(y))]

    Thanks guys!
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