True or False? In Exercises 87 and 88, determinewhether the statement is true or false. Justify your answer.87. You can obtain the graph of y = csc x on a calculatorby graphing the reciprocal of y = sin x.88. You can obtain the graph of y = sec x on a calculatorby graphing a translation of the reciprocal of y = sin x.89. Think About It Consider the functionf(x) = x − cos x.(a) Use a graphing utility to graph the function andverify that there exists a zero between 0 and 1. Usethe graph to approximate the zero.(b) Starting with x0 = 1, generate a sequence x1,x2, x3, . . . , where xn = cos(xn−1). For example,x0 = 1, x1 = cos(x0), x2 = cos(x1), x3 = cos(x2), . . . .What value does the sequence approach?

True or False? In Exercises 87 and 88, determinewhether the statement is true or false. Justify your answer.87. You can obtain the graph of y = csc x on a calculatorby graphing the reciprocal of y = sin x.88. You can obtain the graph of y = sec x on a calculatorby graphing a translation of the reciprocal of y = sin x.89. Think About It Consider the functionf(x) = x − cos x.(a) Use a graphing utility to graph the function andverify that there exists a zero between 0 and 1. Usethe graph to approximate the zero.(b) Starting with x0 = 1, generate a sequence x1,x2, x3, . . . , where xn = cos(xn−1). For example,x0 = 1, x1 = cos(x0), x2 = cos(x1), x3 = cos(x2), . . . .What value does the sequence approach?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 58E

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