Chapter 5 - Section 5.3 - Trigonometric Graphs - 5.3 Exercises - Page 430: 80

Solution: x=0.74

Using a graphing calculator, we represent the function cos(x) = x, as well as lines x=0 and x=$\pi$ to establish an interval. On the graph, we notice that the only solution (x-intercept of cos(x)=x) between lines x=0 and x=$\pi$ is when x $\approx$ 0.739085. As the question wants the solutions to be rounded to 2 decimal places, the solution is x = 0.74.