Consider the following. Function f(x) = 9 cos 2x Trigonometric Equation -18 sin 2x = 0 (a) Use a graphing utility to graph the function f(x) and approximate the maximum and minimum points (to four decimal places) of the graph in the interval [0,2]. (x, y) = ([0,9 (smallest x-value) (x, y) = ( [2,9 (x, y) = 4x,9 (x, y) = π, - 9 (x, y) = (3π, -9 × (largest x-value) (b) Solve the trigonometric equation and verify that the x-coordinates of the maximum and minimum points of f are among its solutions (the trigonometric equation is found using calculus. Only consider the x-coordinates in the interval [0,2]. Enter your answers as a comma-separated list.) x = 0, л, 2, 3, 4л
Consider the following. Function f(x) = 9 cos 2x Trigonometric Equation -18 sin 2x = 0 (a) Use a graphing utility to graph the function f(x) and approximate the maximum and minimum points (to four decimal places) of the graph in the interval [0,2]. (x, y) = ([0,9 (smallest x-value) (x, y) = ( [2,9 (x, y) = 4x,9 (x, y) = π, - 9 (x, y) = (3π, -9 × (largest x-value) (b) Solve the trigonometric equation and verify that the x-coordinates of the maximum and minimum points of f are among its solutions (the trigonometric equation is found using calculus. Only consider the x-coordinates in the interval [0,2]. Enter your answers as a comma-separated list.) x = 0, л, 2, 3, 4л
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
Question
![Consider the following.
Function
f(x) = 9 cos 2x
Trigonometric Equation
-18 sin 2x = 0
(a) Use a graphing utility to graph the function f(x) and approximate the maximum and minimum points (to four decimal places) of the graph in the interval [0,2].
(x, y) = ([0,9
(smallest x-value)
(x, y) = ( [2,9
(x, y) = 4x,9
(x, y) =
π, - 9
(x, y) = (3π, -9
×
(largest x-value)
(b) Solve the trigonometric equation and verify that the x-coordinates of the maximum and minimum points of f are among its solutions (the trigonometric equation is found using calculus. Only consider the x-coordinates in the interval
[0,2]. Enter your answers as a comma-separated list.)
x = 0, л, 2, 3, 4л](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a2c9ae4-718a-4288-bbc7-9ce9838a8ae1%2Ff5bae211-d948-43ef-a7cb-4b76226a9c0b%2Flikw65r_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
Function
f(x) = 9 cos 2x
Trigonometric Equation
-18 sin 2x = 0
(a) Use a graphing utility to graph the function f(x) and approximate the maximum and minimum points (to four decimal places) of the graph in the interval [0,2].
(x, y) = ([0,9
(smallest x-value)
(x, y) = ( [2,9
(x, y) = 4x,9
(x, y) =
π, - 9
(x, y) = (3π, -9
×
(largest x-value)
(b) Solve the trigonometric equation and verify that the x-coordinates of the maximum and minimum points of f are among its solutions (the trigonometric equation is found using calculus. Only consider the x-coordinates in the interval
[0,2]. Enter your answers as a comma-separated list.)
x = 0, л, 2, 3, 4л
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