7th Edition

ISBN: 9780100548169

Author: SMITH

Publisher: YUZU

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A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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Textbook Question

Chapter 64, Problem 112A

Determine the value of angle A in degrees and minutes for each of the given functions. Round the answers to the nearest minute.
csc A = 2.02103

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Chapter 64, Problem 111A

Chapter 64, Problem 113A

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- Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., p-1 2 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). 23 32 how come? The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. The set T is the subset of these residues exceeding So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1.

Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., 2 p-1 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. 23 The set T is the subset of these residues exceeding 2° So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1. how come?

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Chapter 64 Solutions

EBK MATHEMATICS FOR MACHINE TECHNOLOGY

Ch. 64 - Prob. 1A Ch. 64 - Prob. 2A Ch. 64 - The steel beam shown weighs 7800 kilograms/cubic...Ch. 64 - A triangle has a base of 8.4 cm and a height of...Ch. 64 - Determine the diameter of a circle with a...Ch. 64 - Use a protractor to measure this angle. If...Ch. 64 - With reference to 1, name each of the sides of the...Ch. 64 - With reference to 1, name each of the sides of the...Ch. 64 - With reference to 1, name each of the sides of the...Ch. 64 - With reference to 1, name each of the sides of the...

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Determine the value of angle A in degrees and minutes for each of the given functions. Round the answers to the nearest minute. csc A = 2.02103

Solution Summary: The author explains that the value of angle A is 29°39prime .

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Chapter 64 Solutions