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Math Help - sinh(x) and cosh(x)

  1. #1
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    sinh(x) and cosh(x)

    Am I correct in saying that sinh(x) = 0 only when x = 0 and cosh(x) never equals 0?
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  2. #2
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    Yes. To prove it, write \displaystyle \sinh{x} = \frac{e^x - e^{-x}}{2}, set it equal to 0 and solve for \displaystyle x. Also, set \displaystyle \cosh{x} = \frac{e^x + e^{-x}}{2}, and show that this is always positive.
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  3. #3
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    Thanks very much PI.
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