Consider the following. Function x) - cos(x) - sin(x) (a) Use a graphing utility to graph the function. f(x) 2 0-24 f(x) x = local maximum X=> 1 local minimum X= Trigonometric Equation -2 sin(x) cos(x) - cos(x) = 0 LAM 2 -1 0-24 Approximate the maximum and minimum points on the graph in the interval [0, 27). (Do not include relative maxima and minima that occur at the endpoints of the interval. Round each coordinate (x, y) = (smaller x-value) (x, y) = (x, y) = (x, y) = N 2n 1 f(x) (larger x-value) 0-² (smaller x-value) (larger x-value) f(x) (b) Solve the trigonometric equation and verify that its solutions are the x-coordinates of the maximum and minimum points of f. (Calculus is required to find the trigonometric equation. For each F

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