Explanation Result used: Let (x,y) be a point on the terminal side of angle θ , and r is the radius vector . Then the values of trigonometric functions are computed as follows. r = x 2 + y 2 sin θ = y r , csc θ = r y cos θ = x r , sec θ = r x tan θ = y x , cot θ = x y Calculation: The given point is ( x , y ) = ( 1 , − 3 ) . Obtain the value of r as follows. r = x 2 + y 2 = 1 2 + ( − 3 ) 2 = 1 + 3 = 4 = 2 Compute the trigonometric functions as follows. sin θ = − 3 2 = − 3 2 csc θ = 2 − 3 = − 2 3 Continue further and compute the rest of the functions as follows

11th Edition

ISBN: 9780134508290

Author: Evans

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 8.1, Problem 2E

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The trigonometric functions.

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Chapter 8.1, Problem 1E

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Chapter 8 Solutions

EBK BASIC TECHNICAL MATHEMATICS

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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