Explanation Given Information: The provided function is y = cos ( x + 45 ° ) . Formula Used: For a given function y = A s c t ( B x + Q ) , where s c t = sin / cos / tan Here, A = Amplitude , Period = 360 B and Phase = Q B Calculation: Consider the provided function: y = cos ( x + 45 ° ) Now, compare the provided function y = cos ( x + 45 ° ) with the function y = A s c t ( B x + Q ) . So, it can be concluded that, Amplitude = 1 And, period = 360 1 = 360 And, phase = 45 1 = 45 Thus, the amplitude is 1 , period is 360 ° and phase is 45 ° left in the given function y = cos ( x + 45 ) . Graph: Consider the provided function: y = cos ( x + 45 ) Now, obtain the values of y by assuming corresponding values of x as: Substitute x = 0 in the function y = cos ( x + 45 ) . y = cos ( 0 + 45 ) = cos ( 45 ) = 0.7071 Substitute x = 15 in the function y = cos ( x + 45 ) . y = cos ( 15 + 45 ) = cos ( 60 ) = 0.5 Substitute x = 30 in the function y = cos ( x + 45 ) . y = cos ( 30 + 45 ) = cos ( 75 ) = 0

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

12th Edition

ISBN: 9781337890199

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 14.2, Problem 14E

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To calculate: The period and amplitude and phase of the given expression y=cos(x+45°) and graph the provided function.

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Chapter 14.2, Problem 13E

Chapter 14.2, Problem 15E

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Chapter 14 Solutions

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 5E Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 9E Ch. 14.1 - Find each value rounded to four significant...

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The period and amplitude and phase of the given expression y = cos ( x + 45 ° ) and graph the provided function.

Solution Summary: The author calculates the period, amplitude, and phase of the given expression y=mathrmcos(x+45°).

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To calculate: The period and amplitude and phase of the given expression y=cos(x+45°) and graph the provided function.

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Chapter 14 Solutions