The hyperbolic cosine function, denoted by cosh, is

Chapter 5, Problem 55

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The hyperbolic cosine function, denoted by cosh, is defined by the equation (a) Without a calculator, find cosh(0). Using a calculator, find cosh(1) and cosh(1), rounding the answers to two decimal places.(b) What is the domain of the function cosh? Hint: Visualizethe graphs of y e x and y ex.(c) Show that cosh(x) cosh(x). What does this sayabout the graph of y cosh(x)?(d) Use a graphing utility to graph y cosh(x). Check thatthe picture is consistent with your answer in part (c).

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