Explanation Given Information: The provided function is y = 3 cos 4 x . Formula Used: For a given function y = A s c t ( B x ) , where s c t = sin / cos / tan Here, A = Amplitude and Period = 360 B Calculation: Consider the provided function: y = 3 cos 4 x Now, compare the provided function y = 3 cos 4 x with the function y = A s c t ( B x ) . So, it can be concluded that, Amplitude = 3 And, period = 360 4 = 90 Thus, the amplitude is 3 and period is 90 ° in the given function y = 3 cos 4 x . Graph: Consider the provided function: y = 3 cos 4 x Now, obtain the values of y by assuming corresponding values of x as: Substitute x = 0 in the function y = 3 cos 4 x . y = 3 cos ( 4 ⋅ 0 ) = 3 cos ( 0 ) = 3 Substitute x = 15 in the function y = 3 cos 4 x . y = 3 cos ( 4 ⋅ 15 ) = 3 cos ( 60 ) = 3 2 Substitute x = 30 in the function y = 3 cos 4 x . y = 3 cos ( 4 ⋅ 30 ) = 3 cos ( 120 ) = 3 3 2 Substitute x = 60 in the function y = 3 cos 4 x

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 14, Problem 7R

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To calculate: The period and amplitude of the given expression y=3cos4x and graph the provided function.

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Chapter 14, Problem 6R

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Chapter 14 Solutions

Elementary Technical Mathematics

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The period and amplitude of the given expression y = 3 cos 4 x and graph the provided function.

Solution Summary: The author calculates the period and amplitude of the given expression y=3mathrmcos4x and graphs it.

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To calculate: The period and amplitude of the given expression y=3cos4x and graph the provided function.

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Chapter 14 Solutions