Explanation The given function is, y = 1 4 sec x . Since the period for y = sec x is 2 π , the period of y = 1 4 sec x will be 2 π . Thus, one-fourth of the period will be, 1 4 ( 2 π ) = π 2 . Notice that the displacement is zero. That is, the curve starts repeating 2 π units to the right of 0. Since the period is 2 π , one complete cycle ends at 0 + 2 π = 2 π . The important values are at 0 , 0 + π 2 , 0 + 2 ( π 2 ) , 0 + 3 ( π 2 ) and 0 + 4 ( π 2 ) . That is, at 0 , π 2 , π , 3 π 2 and 2 π . Substitute x = 0 in the equation y = 1 4 sec x . y = 1 4 sec x = 1 4 sec ( 0 ) = 1 4 ( 1 ) = 1 4 That is, when x = 0 , the value of y is 1 4 . Similarly, obtain the values of the function at π 2 , π , 3 π 2 and 2 π . Form a table that indicates the values of the function y = 1 4 sec x , where x -value varies from 0 to 2 π

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ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Chapter 10, Problem 32RE

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Chapter 10, Problem 31RE

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Chapter 10 Solutions

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Ch. 10.1 - For the graph of y = −6 sin x, set up a table of...Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - In Exercises 3–6, complete the following table for...Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - In Exercises 7–22, give the amplitude and sketch...Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E

Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - In Exercises 7–22, give the amplitude and sketch...Ch. 10.1 - In Exercises 7–22, give the amplitude and sketch...Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - In Exercises 27–32, solve the given problems. 32....Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.2 - Prob. 1PE Ch. 10.2 - Prob. 2PE Ch. 10.2 - Prob. 3PE Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - In Exercises 3–22, find the amplitude and period...Ch. 10.2 - Prob. 5E Ch. 10.2 - In Exercises 3–22, find the amplitude and period...Ch. 10.2 - 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The graph of the function y = 1 4 sec x and check using a calculator.

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Chapter 10 Solutions