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Geometry, Trigonometry, Logarithms, and Exponential Functions  163


                          Graph of hyperbolic cosinł function
                          Figure 2.70 is an approximate grapà of the function y   cosh x.
                          Itð domain extendð over the entire set of real numbers, and itð
                          range encompasseð the set of real numberð          y such that y   1.



                          Graph of hyperbolic tangenŁ function
                          Figure 2.71 is an approximate grapà of the function                 y
                          tanà x; itð domain encompasseð the entire set of real numbers.






















                                                                      Figure    2.70 Approximate
                                                                      grapà of the hyperbolic co-
                                                                      sine function.
























                                                                      Figure    2.71 Approximate
                                                                      grapà of the hyperbolic tan-
                                                                      gent function.
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