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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Chapter 7.3, Problem 4CFU
To determine

To derive: the formula for given trigonometric function in terms of cotα and cotβ .

Expert Solution & Answer
Check Mark

Answer to Problem 4CFU

  cot(α+β)=cotαcotβ−1cotα+cotβ

Explanation of Solution

Given information:

  cot(α+β)

Calculation:

Derive the formula of cot(α+β) as shown below.

  cot(α+β)=1tan(α+β)                                                             [Reciprocal identity]=1(tanα+tanβ1−tanαtanβ)                                               [Sum identity of tangent]=1−tanαtanβtanα+tanβ=1−(1cotα)(1cotβ)1cotα+1cotβ                                                   [Reciprocal identity]=cotαcotβ−1cotαcotβcotβ+cotαcotαcotβ                                            [Taking common denominator]=cotαcotβ−1cotα+cotβ

Thus the formula of cot(α+β) is cotαcotβ−1cotα+cotβ .

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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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