In Exercises 64 87, evaluate each expression

Chapter 8, Problem 86

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In Exercises 64 87, evaluate each expression (without using a calculator or tables).n this exercise we investigate the relationship betweenthe variables x and u in the accompanyingfigure. (Assume that u is in radians.)(a) Refer to the figure. Show thatu tan1 tan1(b) Use your calculator to complete the followingtable. (Round the results to two decimalplaces.) Which x-value in the table yields thelargest value for u?(c) As indicated in the following graph, the valueof x that makes u as large as possible is a numberbetween 5 and 10, closer to 5 than to 10.Using calculus, it can be shown that this valueof x is, in fact, Use your calculator toevaluate check that the result is consistentwith the given graph. What is the correspondingvalue of u in this case? Also, give thecoordinates of the highest point on the accompanyinggraph. Round both coordinates to twodecimal places.(d) What is the degree measure for the angle u obtainedin part (c)? Round the answer to onedecimal place.