Explanation The equation is sin θ = 0.8829 and 0 ≤ θ ≤ 2 π . Obtain the value of θ as follows: sin θ = 0.8829 θ = sin − 1 0.8829 Using calculator in radian mode, compute the value of sin − 1 0.8829 as displayed below: Hence, from the above screenshot, it can be observed that sin − 1 0.8829 ≈ 1.082 It can be observed that the value of sin θ is positive and θ is between 0 and 2 π . Hence, the angle θ lies in quadrant I or quadrant II

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

11th Edition

ISBN: 9780137554843

Author: Allyn Washington, Richard Evans

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 8.3, Problem 2E

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The value of θ in radian measure in the equation sin θ=0.8829 and 0≤θ≤2π.

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Chapter 8.3, Problem 1E

Chapter 8.3, Problem 3E

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Chapter 8 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 8.1 - Determine the sign of the given functions: sin...Ch. 8.1 - In Example 4, if 90° is added to each angle, what...Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - In Exercises 3–16, determine the sign of the given...Ch. 8.1 - Prob. 7E Ch. 8.1 - In Exercises 3–16, determine the sign of the given...Ch. 8.1 - Prob. 9E

Ch. 8.1 - Prob. 10E Ch. 8.1 - Prob. 11E Ch. 8.1 - Prob. 12E Ch. 8.1 - Prob. 13E Ch. 8.1 - In Exercises 3–16, determine the sign of the given...Ch. 8.1 - Prob. 15E Ch. 8.1 - Prob. 16E Ch. 8.1 - Prob. 17E Ch. 8.1 - Prob. 18E Ch. 8.1 - Prob. 19E Ch. 8.1 - In Exercises 17–24, find the trigonometric...Ch. 8.1 - Prob. 21E Ch. 8.1 - In Exercises 17–24, find the trigonometric...Ch. 8.1 - Prob. 23E Ch. 8.1 - Prob. 24E Ch. 8.1 - Prob. 25E Ch. 8.1 - In Exercises 25–30, for the given values,...Ch. 8.1 - Prob. 27E Ch. 8.1 - Prob. 28E Ch. 8.1 - Prob. 29E Ch. 8.1 - Prob. 30E Ch. 8.1 - Prob. 31E Ch. 8.1 - In Exercises 31–40, determine the quadrant in...Ch. 8.1 - Prob. 33E Ch. 8.1 - Prob. 34E Ch. 8.1 - Prob. 35E Ch. 8.1 - Prob. 36E Ch. 8.1 - Prob. 37E Ch. 8.1 - In Exercises 31–40, determine the quadrant in...Ch. 8.1 - Prob. 39E Ch. 8.1 - Prob. 40E Ch. 8.1 - Prob. 41E Ch. 8.1 - Prob. 42E Ch. 8.1 - Prob. 43E Ch. 8.1 - Prob. 44E Ch. 8.2 - Express each function in terms of the reference...Ch. 8.2 - Prob. 2PE Ch. 8.2 - Express each function in terms of the reference...Ch. 8.2 - Practice Exercise 4. If cos θ = 0.5736, find θ for...Ch. 8.2 - Prob. 5PE Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - In Exercises 3–8, express the given trigonometric...Ch. 8.2 - Prob. 5E Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E Ch. 8.2 - Prob. 11E Ch. 8.2 - In Exercises 9–42, the given angles are...Ch. 8.2 - Prob. 13E Ch. 8.2 - Prob. 14E Ch. 8.2 - Prob. 15E Ch. 8.2 - Prob. 16E Ch. 8.2 - Prob. 17E Ch. 8.2 - In Exercises 17–24, find the values of the given...Ch. 8.2 - Prob. 19E Ch. 8.2 - In Exercises 17–24, find the values of the given...Ch. 8.2 - In Exercises 17–24, find the values of the given...Ch. 8.2 - In Exercises 17–24, find the values of the given...Ch. 8.2 - Prob. 23E Ch. 8.2 - Prob. 24E Ch. 8.2 - Prob. 25E Ch. 8.2 - Prob. 26E Ch. 8.2 - Prob. 27E Ch. 8.2 - Prob. 28E Ch. 8.2 - Prob. 29E Ch. 8.2 - Prob. 30E Ch. 8.2 - Prob. 31E Ch. 8.2 - In Exercises 25‒38, find θ for 0° ≤ θ < 360°. 32....Ch. 8.2 - Prob. 33E Ch. 8.2 - Prob. 34E Ch. 8.2 - 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The value of θ in radian measure in the equation sin θ = 0.8829 and 0 ≤ θ ≤ 2 π .

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The value of θ in radian measure in the equation sin θ=0.8829 and 0≤θ≤2π.

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Chapter 8 Solutions