I ♥ Hyperbolic Cosines - Poster

  • I ♥ Hyperbolic Cosines - Poster

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    I ♥ Hyperbolic Cosines Poster

    HYPERBOLIC COSINE Sometimes called the catenary, the hyperbolic cosine is the function whose equation is
    y=cosh(x)=( ex+ e-x)/2.

    The shape of the graph of this function is similar, but not identical, to that of a parabola. To see the difference, students can use their graphing calculators to try to superimpose = cosh (x) on the parabola x2+ 1.

    While suspension bridges often take the shape of a parabola, any bridge suspended only from its endpoints with uniform weight throughout will take the shape of a catenary or hyperbolic cosine. The Gateway Arch in St. Louis is an inverted catenary slightly flattened at the top, and Antonio Gaudi and other architects have used inverted catenary arches in their buildings.