Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Question
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Chapter 7.3B, Problem 8GCE

(a)

To determine

To find how the reduction quantities get their name.

(a)

Expert Solution
Check Mark

Explanation of Solution

The reduction quantities involve adding and subtracting of quadrilateral angles 90∘,180∘,270∘ from the angle measure to find the value of the trigonometric function.

For example-

  sin(90−θ)=cosθ

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 7.3B, Problem 8GCE

b.

To determine

To find the other type of identities that you could use to derive it.

b.

Expert Solution
Check Mark

Explanation of Solution

The phase shifts and reflections can be used to find the components of these identities. The family of reduction quantities also contain the relationship among the co-functions of tangent, cotangent, secant and cosecant.

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Chapter 7.3B, Problem 7GCE
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Chapter 7.4, Problem 1CFU

Chapter 7 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 7.1 - Prob. 1CFUCh. 7.1 - Prob. 2CFUCh. 7.1 - Prob. 3CFUCh. 7.1 - Prob. 4CFUCh. 7.1 - Prob. 5CFUCh. 7.1 - Prob. 6CFUCh. 7.1 - Prob. 7CFUCh. 7.1 - Prob. 8CFUCh. 7.1 - Prob. 9CFUCh. 7.1 - Prob. 10CFU
Ch. 7.1 - Prob. 11CFUCh. 7.1 - Prob. 12CFUCh. 7.1 - Prob. 13CFUCh. 7.1 - Prob. 14CFUCh. 7.1 - Prob. 15CFUCh. 7.1 - Prob. 16CFUCh. 7.1 - Prob. 17CFUCh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - Prob. 64ECh. 7.1 - Prob. 65ECh. 7.1 - Prob. 66ECh. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.1 - Prob. 69ECh. 7.2 - Prob. 1GCECh. 7.2 - Prob. 2GCECh. 7.2 - Prob. 3GCECh. 7.2 - Prob. 4GCECh. 7.2 - Prob. 5GCECh. 7.2 - Prob. 1CFUCh. 7.2 - Prob. 2CFUCh. 7.2 - Prob. 3CFUCh. 7.2 - Prob. 4CFUCh. 7.2 - Prob. 5CFUCh. 7.2 - Prob. 6CFUCh. 7.2 - Prob. 7CFUCh. 7.2 - Prob. 8CFUCh. 7.2 - Prob. 9CFUCh. 7.2 - Prob. 10CFUCh. 7.2 - Prob. 11CFUCh. 7.2 - Prob. 12CFUCh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - Prob. 23ECh. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.3 - Prob. 1CFUCh. 7.3 - Prob. 2CFUCh. 7.3 - Prob. 3CFUCh. 7.3 - Prob. 4CFUCh. 7.3 - Prob. 5CFUCh. 7.3 - Prob. 6CFUCh. 7.3 - Prob. 7CFUCh. 7.3 - Prob. 8CFUCh. 7.3 - Prob. 9CFUCh. 7.3 - Prob. 10CFUCh. 7.3 - Prob. 11CFUCh. 7.3 - Prob. 12CFUCh. 7.3 - Prob. 13CFUCh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Prob. 53ECh. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Prob. 64ECh. 7.3 - Prob. 1MCQCh. 7.3 - Prob. 2MCQCh. 7.3 - Prob. 3MCQCh. 7.3 - Prob. 4MCQCh. 7.3 - Prob. 5MCQCh. 7.3 - Prob. 6MCQCh. 7.3 - Prob. 7MCQCh. 7.3 - Prob. 8MCQCh. 7.3 - Prob. 9MCQCh. 7.3 - Prob. 10MCQCh. 7.3B - Prob. 1GCECh. 7.3B - Prob. 2GCECh. 7.3B - Prob. 3GCECh. 7.3B - Prob. 4GCECh. 7.3B - Prob. 5GCECh. 7.3B - Prob. 6GCECh. 7.3B - Prob. 7GCECh. 7.3B - Prob. 8GCECh. 7.4 - Prob. 1CFUCh. 7.4 - Prob. 2CFUCh. 7.4 - Prob. 3CFUCh. 7.4 - Prob. 4CFUCh. 7.4 - Prob. 5CFUCh. 7.4 - Prob. 6CFUCh. 7.4 - Prob. 7CFUCh. 7.4 - Prob. 8CFUCh. 7.4 - Prob. 9CFUCh. 7.4 - Prob. 10CFUCh. 7.4 - Prob. 11CFUCh. 7.4 - Prob. 12CFUCh. 7.4 - Prob. 13CFUCh. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Prob. 44ECh. 7.4 - Prob. 45ECh. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Prob. 48ECh. 7.5 - Prob. 1GCECh. 7.5 - Prob. 2GCECh. 7.5 - Prob. 3GCECh. 7.5 - Prob. 4GCECh. 7.5 - Prob. 5GCECh. 7.5 - Prob. 1CFUCh. 7.5 - Prob. 2CFUCh. 7.5 - Prob. 3CFUCh. 7.5 - Prob. 4CFUCh. 7.5 - Prob. 5CFUCh. 7.5 - Prob. 6CFUCh. 7.5 - Prob. 7CFUCh. 7.5 - Prob. 8CFUCh. 7.5 - Prob. 9CFUCh. 7.5 - Prob. 10CFUCh. 7.5 - Prob. 11CFUCh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Prob. 17ECh. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.5 - Prob. 29ECh. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - Prob. 34ECh. 7.5 - Prob. 35ECh. 7.5 - Prob. 36ECh. 7.5 - Prob. 37ECh. 7.5 - Prob. 38ECh. 7.5 - Prob. 39ECh. 7.5 - Prob. 40ECh. 7.5 - Prob. 41ECh. 7.5 - Prob. 42ECh. 7.5 - Prob. 43ECh. 7.5 - Prob. 44ECh. 7.5 - Prob. 45ECh. 7.5 - Prob. 46ECh. 7.5 - Prob. 47ECh. 7.5 - Prob. 48ECh. 7.5 - Prob. 49ECh. 7.5 - Prob. 50ECh. 7.5 - Prob. 51ECh. 7.5 - Prob. 52ECh. 7.5 - Prob. 53ECh. 7.5 - Prob. 54ECh. 7.5 - Prob. 55ECh. 7.5 - Prob. 56ECh. 7.5 - Prob. 57ECh. 7.5 - Prob. 58ECh. 7.5 - Prob. 59ECh. 7.5 - Prob. 60ECh. 7.5 - Prob. 61ECh. 7.5 - Prob. 62ECh. 7.5 - Prob. 63ECh. 7.5 - Prob. 64ECh. 7.5 - Prob. 65ECh. 7.5 - Prob. 66ECh. 7.5 - Prob. 67ECh. 7.5 - Prob. 68ECh. 7.5 - Prob. 69ECh. 7.5 - Prob. 70ECh. 7.5 - Prob. 71ECh. 7.5 - Prob. 72ECh. 7.6 - Prob. 1CFUCh. 7.6 - Prob. 2CFUCh. 7.6 - Prob. 3CFUCh. 7.6 - Prob. 4CFUCh. 7.6 - Prob. 5CFUCh. 7.6 - Prob. 6CFUCh. 7.6 - Prob. 7CFUCh. 7.6 - Prob. 8CFUCh. 7.6 - Prob. 9CFUCh. 7.6 - Prob. 10CFUCh. 7.6 - Prob. 11CFUCh. 7.6 - Prob. 12CFUCh. 7.6 - Prob. 13CFUCh. 7.6 - Prob. 14CFUCh. 7.6 - Prob. 15CFUCh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Prob. 19ECh. 7.6 - Prob. 20ECh. 7.6 - Prob. 21ECh. 7.6 - Prob. 22ECh. 7.6 - Prob. 23ECh. 7.6 - Prob. 24ECh. 7.6 - Prob. 25ECh. 7.6 - Prob. 26ECh. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - Prob. 32ECh. 7.6 - Prob. 33ECh. 7.6 - Prob. 34ECh. 7.6 - Prob. 35ECh. 7.6 - Prob. 36ECh. 7.6 - Prob. 37ECh. 7.6 - Prob. 38ECh. 7.6 - Prob. 39ECh. 7.6 - Prob. 40ECh. 7.6 - Prob. 41ECh. 7.6 - Prob. 42ECh. 7.6 - Prob. 43ECh. 7.6 - Prob. 44ECh. 7.6 - Prob. 45ECh. 7.6 - Prob. 46ECh. 7.7 - Prob. 1CFUCh. 7.7 - Prob. 2CFUCh. 7.7 - Prob. 3CFUCh. 7.7 - Prob. 4CFUCh. 7.7 - Prob. 5CFUCh. 7.7 - Prob. 6CFUCh. 7.7 - Prob. 7CFUCh. 7.7 - Prob. 8CFUCh. 7.7 - Prob. 9CFUCh. 7.7 - Prob. 10CFUCh. 7.7 - Prob. 11ECh. 7.7 - Prob. 12ECh. 7.7 - Prob. 13ECh. 7.7 - Prob. 14ECh. 7.7 - Prob. 15ECh. 7.7 - Prob. 16ECh. 7.7 - Prob. 17ECh. 7.7 - Prob. 18ECh. 7.7 - Prob. 19ECh. 7.7 - Prob. 20ECh. 7.7 - Prob. 21ECh. 7.7 - Prob. 22ECh. 7.7 - Prob. 23ECh. 7.7 - Prob. 24ECh. 7.7 - Prob. 25ECh. 7.7 - Prob. 26ECh. 7.7 - Prob. 27ECh. 7.7 - Prob. 28ECh. 7.7 - Prob. 29ECh. 7.7 - Prob. 30ECh. 7.7 - Prob. 31ECh. 7.7 - Prob. 32ECh. 7.7 - Prob. 33ECh. 7.7 - Prob. 34ECh. 7.7 - Prob. 35ECh. 7.7 - Prob. 36ECh. 7.7 - Prob. 37ECh. 7.7 - Prob. 38ECh. 7.7 - Prob. 39ECh. 7.7 - Prob. 40ECh. 7 - Prob. 1SGACh. 7 - Prob. 2SGACh. 7 - Prob. 3SGACh. 7 - Prob. 4SGACh. 7 - Prob. 5SGACh. 7 - Prob. 6SGACh. 7 - Prob. 7SGACh. 7 - Prob. 8SGACh. 7 - Prob. 9SGACh. 7 - Prob. 10SGACh. 7 - Prob. 11SGACh. 7 - Prob. 12SGACh. 7 - Prob. 13SGACh. 7 - Prob. 14SGACh. 7 - Prob. 15SGACh. 7 - Prob. 16SGACh. 7 - Prob. 17SGACh. 7 - Prob. 18SGACh. 7 - Prob. 19SGACh. 7 - Prob. 20SGACh. 7 - Prob. 21SGACh. 7 - Prob. 22SGACh. 7 - Prob. 23SGACh. 7 - Prob. 24SGACh. 7 - Prob. 25SGACh. 7 - Prob. 26SGACh. 7 - Prob. 27SGACh. 7 - Prob. 28SGACh. 7 - Prob. 29SGACh. 7 - Prob. 30SGACh. 7 - Prob. 31SGACh. 7 - Prob. 32SGACh. 7 - Prob. 33SGACh. 7 - Prob. 34SGACh. 7 - Prob. 35SGACh. 7 - Prob. 36SGACh. 7 - Prob. 37SGACh. 7 - Prob. 38SGACh. 7 - Prob. 39SGACh. 7 - Prob. 40SGACh. 7 - Prob. 41SGACh. 7 - Prob. 42SGACh. 7 - Prob. 43SGACh. 7 - Prob. 44SGACh. 7 - Prob. 45SGACh. 7 - Prob. 46SGACh. 7 - Prob. 47SGACh. 7 - Prob. 1SAPCh. 7 - Prob. 2SAPCh. 7 - Prob. 3SAPCh. 7 - Prob. 4SAPCh. 7 - Prob. 5SAPCh. 7 - Prob. 6SAPCh. 7 - Prob. 7SAPCh. 7 - Prob. 8SAPCh. 7 - Prob. 9SAPCh. 7 - Prob. 10SAP

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