Explanation Procedure used: To find the amplitude and period of a function in the form y = A sin B x or y = A cos B x : I. A represents the amplitude. Identify B (the coefficient of x ). II. Divide 360 ° or 2 π radians by the coefficient of x . P = 360 ° B for degrees or P = 2 π B for radians . To find the phase shift for the function y = A sin ( B x + C ) or y = A cos ( B x + C ) : 1. Find the value C B . 2. If C B is positive, shift the graph C B units to the left . 3. If C B is negative, shift the graph C B units to the right . Calculation: It is given that the function is y = 1 2 sin ( 8 x − 180 ° ) . It is known that, the coefficient of sin ( 8 x − 180 ° ) is 1 2 . This implies, Amplitude = 1 2 . Compare the given equation with y = A sin ( B x + C ) . The coefficient of x is B = 8 Period = 360 ° B ( by step II ) = 360 ° 8 = 45 ° On Comparison of the given equation with y = A sin ( B x + C ) , the value of C = − 180 °

College Mathematics for Trades and Technologies, books a la carte edition (10th Edition)

10th Edition

ISBN: 9780134707716

Author: Cheryl Cleaves, Margie Hobbs

Publisher: PEARSON

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Chapter 20, Problem 32RE

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To evaluate: The amplitude, period and phase shift for the function y=12sin(8x−180°) and also to sketch the graph for the same function.

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Chapter 20, Problem 31RE

Chapter 20, Problem 33RE

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Chapter 20 Solutions

College Mathematics for Trades and Technologies, books a la carte edition (10th Edition)

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Ch. 20.3 - Prob. 4LC Ch. 20.3 - Prob. 1E Ch. 20.3 - Prob. 2E Ch. 20.3 - Prob. 3E Ch. 20.3 - Prob. 4E Ch. 20.3 - Prob. 5E Ch. 20.3 - Prob. 6E Ch. 20.3 - Prob. 7E Ch. 20.3 - Prob. 8E Ch. 20.3 - Prob. 9E Ch. 20.3 - Prob. 10E Ch. 20.3 - Prob. 11E Ch. 20.3 - Prob. 12E Ch. 20.3 - Prob. 13E Ch. 20.3 - Prob. 14E Ch. 20.3 - Prob. 15E Ch. 20.3 - Prob. 16E Ch. 20.3 - Prob. 17E Ch. 20.3 - Prob. 18E Ch. 20.3 - Prob. 19E Ch. 20.3 - Prob. 20E Ch. 20.3 - Prob. 21E Ch. 20.3 - Prob. 22E Ch. 20.3 - Prob. 23E Ch. 20.3 - Prob. 24E Ch. 20.3 - Prob. 25E Ch. 20.3 - Prob. 26E Ch. 20.3 - Prob. 27E Ch. 20.3 - Prob. 28E Ch. 20.3 - Prob. 29E Ch. 20.3 - Prob. 30E Ch. 20.3 - Prob. 31E Ch. 20.3 - Prob. 32E Ch. 20.3 - Prob. 33E Ch. 20.3 - Prob. 34E Ch. 20.3 - Prob. 35E Ch. 20.3 - Prob. 36E Ch. 20.3 - Prob. 37E Ch. 20.3 - Prob. 38E Ch. 20.3 - Prob. 39E Ch. 20.3 - Prob. 40E Ch. 20.3 - Prob. 41E Ch. 20.3 - Prob. 42E Ch. 20.3 - Prob. 43E Ch. 20.3 - Prob. 44E Ch. 20.3 - Prob. 45E Ch. 20.3 - Prob. 46E Ch. 20.3 - Prob. 47E Ch. 20.4 - Evaluate to four significant digits. 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If a triangle has two...Ch. 20 - Prob. 42RE Ch. 20 - Prob. 43RE Ch. 20 - Prob. 44RE Ch. 20 - Prob. 45RE Ch. 20 - Prob. 46RE Ch. 20 - Prob. 47RE Ch. 20 - Prob. 48RE Ch. 20 - Solve the exercises. 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The amplitude, period and phase shift for the function y = 1 2 sin ( 8 x − 180 ° ) and also to sketch the graph for the same function.

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To evaluate: The amplitude, period and phase shift for the function y=12sin(8x−180°) and also to sketch the graph for the same function.

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Chapter 20 Solutions