Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 20.6, Problem 11E
To determine
To evaluate: The value of the expression
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Chapter 20 Solutions
Basic Technical Mathematics
Ch. 20.1 - Prob. 1PECh. 20.1 - Prob. 2PECh. 20.1 - Prob. 3PECh. 20.1 - Prob. 1ECh. 20.1 - Prob. 2ECh. 20.1 - In Exercises 36, use a calculator to check the...Ch. 20.1 - Prob. 4ECh. 20.1 - Prob. 5ECh. 20.1 - Prob. 6ECh. 20.1 - Prob. 7E
Ch. 20.1 - Prob. 8ECh. 20.1 - Prob. 9ECh. 20.1 - Prob. 10ECh. 20.1 - Prob. 11ECh. 20.1 - Prob. 12ECh. 20.1 - Prob. 13ECh. 20.1 - Prob. 14ECh. 20.1 - Prob. 15ECh. 20.1 - Prob. 16ECh. 20.1 - Prob. 17ECh. 20.1 - Prob. 18ECh. 20.1 - In Exercises 19–38, prove the given identities.
Ch. 20.1 - Prob. 20ECh. 20.1 - In Exercises 19–38, prove the given identities.
Ch. 20.1 - Prob. 22ECh. 20.1 - Prob. 23ECh. 20.1 - Prob. 24ECh. 20.1 - Prob. 25ECh. 20.1 - Prob. 26ECh. 20.1 - Prob. 27ECh. 20.1 - Prob. 28ECh. 20.1 - Prob. 29ECh. 20.1 - Prob. 30ECh. 20.1 - Prob. 31ECh. 20.1 - Prob. 32ECh. 20.1 - Prob. 33ECh. 20.1 - Prob. 34ECh. 20.1 - Prob. 35ECh. 20.1 - Prob. 36ECh. 20.1 - Prob. 37ECh. 20.1 - Prob. 38ECh. 20.1 - Prob. 39ECh. 20.1 - Prob. 40ECh. 20.1 - Prob. 41ECh. 20.1 - Prob. 42ECh. 20.1 - Prob. 43ECh. 20.1 - Prob. 44ECh. 20.1 - Prob. 45ECh. 20.1 - Prob. 46ECh. 20.1 - Prob. 47ECh. 20.1 - Prob. 48ECh. 20.1 - In Exercises 47–50, for a first-quadrant angle,...Ch. 20.1 - Prob. 50ECh. 20.1 - Prob. 51ECh. 20.1 - Prob. 52ECh. 20.1 - Prob. 53ECh. 20.1 - Prob. 54ECh. 20.1 - Prob. 55ECh. 20.1 - Prob. 56ECh. 20.1 - Prob. 57ECh. 20.1 - Prob. 58ECh. 20.1 - Prob. 59ECh. 20.1 - Prob. 60ECh. 20.1 - Prob. 61ECh. 20.1 - Prob. 62ECh. 20.1 - Prob. 63ECh. 20.1 - In Exercise 63–70, solve the given...Ch. 20.1 - Prob. 65ECh. 20.1 - Prob. 66ECh. 20.1 - Prob. 67ECh. 20.1 - Prob. 68ECh. 20.1 - Prob. 69ECh. 20.1 - Prob. 70ECh. 20.1 - Prob. 71ECh. 20.1 - Prob. 72ECh. 20.1 - Prob. 73ECh. 20.1 - Prob. 74ECh. 20.2 - Prob. 1PECh. 20.2 - Prob. 2PECh. 20.2 - Prob. 1ECh. 20.2 - In Exercises 1 and 2, make the given changes in...Ch. 20.2 - Prob. 3ECh. 20.2 - In Exercises 36, determine the values of the given...Ch. 20.2 - Prob. 5ECh. 20.2 - Prob. 6ECh. 20.2 - Prob. 7ECh. 20.2 - Prob. 8ECh. 20.2 - Prob. 9ECh. 20.2 - Prob. 10ECh. 20.2 - Prob. 11ECh. 20.2 - In Exercises 1120, simplify the given...Ch. 20.2 - Prob. 13ECh. 20.2 - Prob. 14ECh. 20.2 - Prob. 15ECh. 20.2 - Prob. 16ECh. 20.2 - Prob. 17ECh. 20.2 - Prob. 18ECh. 20.2 - Prob. 19ECh. 20.2 - Prob. 20ECh. 20.2 - In Exercises 2124, evaluate each expression by...Ch. 20.2 - In Exercises 21–24, evaluate each expression by...Ch. 20.2 - Prob. 23ECh. 20.2 - Prob. 24ECh. 20.2 - Prob. 25ECh. 20.2 - Prob. 26ECh. 20.2 - Prob. 27ECh. 20.2 - Prob. 28ECh. 20.2 - Prob. 29ECh. 20.2 - Prob. 30ECh. 20.2 - Prob. 31ECh. 20.2 - Prob. 32ECh. 20.2 - Prob. 33ECh. 20.2 - Prob. 34ECh. 20.2 - Prob. 35ECh. 20.2 - Prob. 36ECh. 20.2 - Prob. 37ECh. 20.2 - Prob. 38ECh. 20.2 - Prob. 39ECh. 20.2 - Prob. 40ECh. 20.2 - Prob. 41ECh. 20.2 - In Exercises 4154, solve the given...Ch. 20.2 - Prob. 43ECh. 20.2 - Prob. 44ECh. 20.2 - Prob. 45ECh. 20.2 - Prob. 46ECh. 20.2 - Prob. 47ECh. 20.2 - Prob. 48ECh. 20.2 - Prob. 49ECh. 20.2 - Prob. 50ECh. 20.2 - Prob. 51ECh. 20.2 - Prob. 52ECh. 20.2 - Prob. 53ECh. 20.2 - Prob. 54ECh. 20.3 - Evaluate cos 90° using values for 45°.
Ch. 20.3 - Simplify:
Ch. 20.3 - In Exercises 1–4, make the given changes in the...Ch. 20.3 - In Exercises 1–4, make the given changes in the...Ch. 20.3 - In Exercises 1–4, make the given changes in the...Ch. 20.3 - Prob. 4ECh. 20.3 - Prob. 5ECh. 20.3 - In Exercises 5–8, determine the values of the...Ch. 20.3 - Prob. 7ECh. 20.3 - Prob. 8ECh. 20.3 - Prob. 9ECh. 20.3 - Prob. 10ECh. 20.3 - Prob. 11ECh. 20.3 - In Exercises 9–14, use a calculator to verify the...Ch. 20.3 - Prob. 13ECh. 20.3 - Prob. 14ECh. 20.3 - Prob. 15ECh. 20.3 - Prob. 16ECh. 20.3 - Prob. 17ECh. 20.3 - Prob. 18ECh. 20.3 - Prob. 19ECh. 20.3 - In Exercises 19–30, simplify the given...Ch. 20.3 - In Exercises 19–30, simplify the given...Ch. 20.3 - Prob. 22ECh. 20.3 - Prob. 23ECh. 20.3 - Prob. 24ECh. 20.3 - Prob. 25ECh. 20.3 - Prob. 26ECh. 20.3 - Prob. 27ECh. 20.3 - Prob. 28ECh. 20.3 - Prob. 29ECh. 20.3 - Prob. 30ECh. 20.3 - Prob. 31ECh. 20.3 - Prob. 32ECh. 20.3 - Prob. 33ECh. 20.3 - Prob. 34ECh. 20.3 - Prob. 35ECh. 20.3 - Prob. 36ECh. 20.3 - Prob. 37ECh. 20.3 - Prob. 38ECh. 20.3 - Prob. 39ECh. 20.3 - Prob. 40ECh. 20.3 - Prob. 41ECh. 20.3 - Prob. 42ECh. 20.3 - Prob. 43ECh. 20.3 - Prob. 44ECh. 20.3 - Prob. 45ECh. 20.3 - Prob. 46ECh. 20.3 - Prob. 47ECh. 20.3 - Prob. 48ECh. 20.3 - Prob. 49ECh. 20.3 - Prob. 50ECh. 20.3 - Prob. 51ECh. 20.3 - Prob. 52ECh. 20.3 - Prob. 53ECh. 20.3 - Prob. 54ECh. 20.3 - Prob. 55ECh. 20.3 - Prob. 56ECh. 20.3 - Prob. 57ECh. 20.3 - Prob. 58ECh. 20.3 - Prob. 59ECh. 20.3 - Prob. 60ECh. 20.3 - Prob. 61ECh. 20.3 - Prob. 62ECh. 20.4 - Prob. 1PECh. 20.4 - Prob. 1ECh. 20.4 - Prob. 3ECh. 20.4 - Prob. 4ECh. 20.4 - Prob. 5ECh. 20.4 - Prob. 6ECh. 20.4 - Prob. 7ECh. 20.4 - Prob. 8ECh. 20.4 - Prob. 9ECh. 20.4 - Prob. 10ECh. 20.4 - Prob. 11ECh. 20.4 - Prob. 12ECh. 20.4 - Prob. 13ECh. 20.4 - Prob. 14ECh. 20.4 - Prob. 15ECh. 20.4 - Prob. 16ECh. 20.4 - Prob. 17ECh. 20.4 - Prob. 18ECh. 20.4 - Prob. 19ECh. 20.4 - Prob. 20ECh. 20.4 - Prob. 21ECh. 20.4 - In Exercises 21–24, evaluate the indicated...Ch. 20.4 - Prob. 23ECh. 20.4 - Prob. 24ECh. 20.4 - In Exercises 25–28, derive the required...Ch. 20.4 - Prob. 26ECh. 20.4 - Prob. 27ECh. 20.4 - Prob. 28ECh. 20.4 - Prob. 29ECh. 20.4 - Prob. 30ECh. 20.4 - Prob. 31ECh. 20.4 - Prob. 32ECh. 20.4 - Prob. 33ECh. 20.4 - Prob. 34ECh. 20.4 - Prob. 35ECh. 20.4 - Prob. 36ECh. 20.4 - Prob. 37ECh. 20.4 - Prob. 38ECh. 20.4 - Prob. 39ECh. 20.4 - Prob. 40ECh. 20.4 - Prob. 41ECh. 20.4 - Prob. 42ECh. 20.4 - Prob. 43ECh. 20.4 - Prob. 44ECh. 20.4 - Prob. 45ECh. 20.4 - Prob. 46ECh. 20.4 - Prob. 47ECh. 20.4 - Prob. 48ECh. 20.5 - Prob. 1PECh. 20.5 - Prob. 2PECh. 20.5 - Prob. 1ECh. 20.5 - Prob. 2ECh. 20.5 - Prob. 3ECh. 20.5 - Prob. 4ECh. 20.5 - Prob. 5ECh. 20.5 - In Exercises 5–20, solve the given trigonometric...Ch. 20.5 - Prob. 7ECh. 20.5 - In Exercises 5–20, solve the given trigonometric...Ch. 20.5 - Prob. 9ECh. 20.5 - Prob. 10ECh. 20.5 - Prob. 11ECh. 20.5 - Prob. 12ECh. 20.5 - Prob. 13ECh. 20.5 - Prob. 14ECh. 20.5 - Prob. 15ECh. 20.5 - In Exercises 5–20, solve the given trigonometric...Ch. 20.5 - Prob. 17ECh. 20.5 - Prob. 18ECh. 20.5 - Prob. 19ECh. 20.5 - Prob. 20ECh. 20.5 - Prob. 21ECh. 20.5 - Prob. 22ECh. 20.5 - Prob. 23ECh. 20.5 - Prob. 24ECh. 20.5 - Prob. 25ECh. 20.5 - Prob. 26ECh. 20.5 - Prob. 27ECh. 20.5 - Prob. 28ECh. 20.5 - Prob. 29ECh. 20.5 - Prob. 30ECh. 20.5 - Prob. 31ECh. 20.5 - Prob. 32ECh. 20.5 - Prob. 33ECh. 20.5 - Prob. 34ECh. 20.5 - Prob. 35ECh. 20.5 - Prob. 36ECh. 20.5 - Prob. 37ECh. 20.5 - Prob. 38ECh. 20.5 - Prob. 39ECh. 20.5 - Prob. 40ECh. 20.5 - Prob. 41ECh. 20.5 - Prob. 42ECh. 20.5 - Prob. 43ECh. 20.5 - Prob. 44ECh. 20.5 - Prob. 45ECh. 20.5 - Prob. 46ECh. 20.5 - Prob. 47ECh. 20.5 - Prob. 48ECh. 20.5 - Prob. 49ECh. 20.5 - Prob. 50ECh. 20.5 - Prob. 51ECh. 20.5 - Prob. 52ECh. 20.5 - Prob. 53ECh. 20.5 - Prob. 54ECh. 20.5 - Prob. 55ECh. 20.5 - Prob. 56ECh. 20.5 - Prob. 57ECh. 20.5 - Prob. 58ECh. 20.5 - Prob. 59ECh. 20.5 - Prob. 60ECh. 20.5 - Prob. 61ECh. 20.5 - Prob. 62ECh. 20.6 - Prob. 1PECh. 20.6 - Prob. 2PECh. 20.6 - Prob. 1ECh. 20.6 - Prob. 2ECh. 20.6 - Prob. 3ECh. 20.6 - Prob. 4ECh. 20.6 - Prob. 5ECh. 20.6 - Prob. 6ECh. 20.6 - Prob. 7ECh. 20.6 - Prob. 8ECh. 20.6 - Prob. 9ECh. 20.6 - Prob. 10ECh. 20.6 - Prob. 11ECh. 20.6 -
In Exercises 11—28, evaluate exactly the given...Ch. 20.6 -
In Exercises 11—28, evaluate exactly the given...Ch. 20.6 -
In Exercises 11—28, evaluate exactly the given...Ch. 20.6 - Prob. 15ECh. 20.6 - Prob. 16ECh. 20.6 - Prob. 17ECh. 20.6 -
In Exercises 11—28, evaluate exactly the given...Ch. 20.6 - Prob. 19ECh. 20.6 - Prob. 20ECh. 20.6 - Prob. 21ECh. 20.6 - Prob. 22ECh. 20.6 - Prob. 23ECh. 20.6 - Prob. 24ECh. 20.6 - Prob. 25ECh. 20.6 - Prob. 26ECh. 20.6 - Prob. 27ECh. 20.6 - Prob. 28ECh. 20.6 - Prob. 29ECh. 20.6 - Prob. 30ECh. 20.6 - Prob. 31ECh. 20.6 - Prob. 32ECh. 20.6 -
In Exercises 29—36, use a calculator to evaluate...Ch. 20.6 -
In Exercises 29—36, use a calculator to evaluate...Ch. 20.6 - Prob. 35ECh. 20.6 -
In Exercises 29—36, use a calculator to evaluate...Ch. 20.6 - Prob. 37ECh. 20.6 - Prob. 38ECh. 20.6 - Prob. 39ECh. 20.6 - Prob. 40ECh. 20.6 - Prob. 41ECh. 20.6 - Prob. 42ECh. 20.6 - Prob. 43ECh. 20.6 - Prob. 44ECh. 20.6 - Prob. 45ECh. 20.6 - Prob. 46ECh. 20.6 - Prob. 47ECh. 20.6 - Prob. 48ECh. 20.6 - Prob. 49ECh. 20.6 - Prob. 50ECh. 20.6 - In Exercises 51–56, solve the given problems with...Ch. 20.6 - Prob. 52ECh. 20.6 - Prob. 53ECh. 20.6 - Prob. 54ECh. 20.6 - Prob. 55ECh. 20.6 - Prob. 56ECh. 20.6 - Prob. 57ECh. 20.6 - Prob. 58ECh. 20.6 - Prob. 59ECh. 20.6 - Prob. 60ECh. 20.6 - Prob. 61ECh. 20.6 - Prob. 62ECh. 20.6 - Prob. 63ECh. 20.6 - Prob. 64ECh. 20.6 - Prob. 65ECh. 20.6 - Prob. 66ECh. 20.6 - Prob. 67ECh. 20.6 - Prob. 68ECh. 20.6 - Prob. 69ECh. 20.6 - Prob. 70ECh. 20.6 - Prob. 71ECh. 20.6 - Prob. 72ECh. 20.6 - Prob. 73ECh. 20.6 - Prob. 74ECh. 20.6 - Prob. 75ECh. 20.6 - Prob. 76ECh. 20 - Prob. 1RECh. 20 - Prob. 2RECh. 20 - Prob. 3RECh. 20 - Prob. 4RECh. 20 - Prob. 5RECh. 20 - Prob. 6RECh. 20 - Prob. 7RECh. 20 - Prob. 8RECh. 20 - Prob. 9RECh. 20 - Prob. 10RECh. 20 - Prob. 11RECh. 20 - Prob. 12RECh. 20 - Prob. 13RECh. 20 - Prob. 14RECh. 20 - In Exercises 15–22, simplify the given expressions...Ch. 20 - In Exercises 15–22, simplify the given expressions...Ch. 20 - Prob. 17RECh. 20 - Prob. 18RECh. 20 - Prob. 19RECh. 20 - Prob. 20RECh. 20 - Prob. 21RECh. 20 - Prob. 22RECh. 20 - Prob. 23RECh. 20 - Prob. 24RECh. 20 - Prob. 25RECh. 20 - Prob. 26RECh. 20 - Prob. 27RECh. 20 - Prob. 28RECh. 20 - Prob. 29RECh. 20 - Prob. 30RECh. 20 - Prob. 31RECh. 20 - Prob. 32RECh. 20 - Prob. 33RECh. 20 - Prob. 34RECh. 20 - Prob. 35RECh. 20 - Prob. 36RECh. 20 - Prob. 37RECh. 20 - Prob. 38RECh. 20 - Prob. 39RECh. 20 - Prob. 40RECh. 20 - Prob. 41RECh. 20 - Prob. 42RECh. 20 - Prob. 43RECh. 20 - Prob. 44RECh. 20 - Prob. 45RECh. 20 - Prob. 46RECh. 20 - Prob. 47RECh. 20 - Prob. 48RECh. 20 - Prob. 50RECh. 20 - Prob. 51RECh. 20 - Prob. 52RECh. 20 - Prob. 53RECh. 20 - Prob. 54RECh. 20 -
In Exercises 51—58, simplify the given...Ch. 20 - Prob. 56RECh. 20 - Prob. 57RECh. 20 - Prob. 58RECh. 20 - Prob. 59RECh. 20 - Prob. 60RECh. 20 - Prob. 61RECh. 20 - Prob. 62RECh. 20 - Prob. 63RECh. 20 - Prob. 64RECh. 20 - Prob. 65RECh. 20 - Prob. 66RECh. 20 - Prob. 67RECh. 20 - Prob. 68RECh. 20 - Prob. 69RECh. 20 - Prob. 70RECh. 20 - Prob. 71RECh. 20 - Prob. 72RECh. 20 - Prob. 73RECh. 20 - Prob. 74RECh. 20 - Prob. 75RECh. 20 - Prob. 76RECh. 20 - Prob. 77RECh. 20 - Prob. 78RECh. 20 - Prob. 79RECh. 20 - Prob. 80RECh. 20 - Prob. 81RECh. 20 - Prob. 82RECh. 20 - Prob. 83RECh. 20 - Prob. 84RECh. 20 - Prob. 85RECh. 20 - Prob. 86RECh. 20 - Prob. 87RECh. 20 - Prob. 88RECh. 20 - Prob. 89RECh. 20 - Prob. 90RECh. 20 - Prob. 91RECh. 20 - Prob. 92RECh. 20 - Prob. 93RECh. 20 - Prob. 94RECh. 20 - Prob. 95RECh. 20 - Prob. 96RECh. 20 - Prob. 97RECh. 20 - Prob. 98RECh. 20 - Prob. 99RECh. 20 - Prob. 100RECh. 20 - Prob. 101RECh. 20 - Prob. 102RECh. 20 - Prob. 103RECh. 20 - Prob. 104RECh. 20 - Prob. 105RECh. 20 - Prob. 106RECh. 20 - Prob. 107RECh. 20 - Prob. 108RECh. 20 - Prob. 109RECh. 20 - Prob. 110RECh. 20 - Prob. 111RECh. 20 - Prob. 112RECh. 20 - Prob. 113RECh. 20 - Prob. 114RECh. 20 - Prob. 115RECh. 20 - Prob. 116RECh. 20 - Prob. 117RECh. 20 - Prob. 118RECh. 20 - Prob. 119RECh. 20 - Prob. 120RECh. 20 - Prob. 121RECh. 20 - Prob. 122RECh. 20 - Prob. 123RECh. 20 - Prob. 124RECh. 20 - Prob. 125RECh. 20 - Prob. 126RECh. 20 - Prob. 127RECh. 20 - Prob. 128RECh. 20 - Prob. 129RECh. 20 - Prob. 130RECh. 20 - Prob. 131RECh. 20 - Prob. 1PTCh. 20 - Prob. 2PTCh. 20 - Prob. 3PTCh. 20 - Prob. 4PTCh. 20 - Prob. 5PTCh. 20 - Prob. 6PTCh. 20 - Prob. 7PTCh. 20 - Prob. 8PTCh. 20 - Prob. 9PTCh. 20 - Prob. 10PT
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- 3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains either a value or a formula that depends on the values of other cells. (a) Describe a graph, digraph, or network that models an arbitrary spreadsheet and allows you to answer the remaining parts of this question. (b) Explain, by referring to the graph, digraph, or network, when it is possible to change the value of cell x without changing the value of cell y. (c) Explain, by referring to the graph, digraph, or network, when it is possible to calculate the values of all cells in the spreadsheet. Consider the following spreadsheet with 5 rows, 7 columns, and 35 cells. For exam- ple, cell el contains a value, whereas cell al contains a formula that depends on the values cells el and 95. a b с 1 el+g5 al-c5 110 d al+cl 180 e f g f5-el c1+c2 2 al+b1 a2+c4 240 a2+c2 120 f5-e2 e3+e5 3 a2+b2 a3-c3 100 a3+c1 200 f5-e3 f1+f2 4 a3+b3 a4+c2 220 a4+c2 100 f5-e4 f3+f4 5 a4+b4 a5-c1 130 a5+c5 120 g3+g4 g1+g2 (d) Can…arrow_forward1. Let W, U, and S be graphs defined as follows: • V(W) is the set of countries in the world; • V(U) is the set of countries in the European Union; V(S) is the set of countries in the Schengen Area; ● for X = {W,U,S}, E(X) is the set of pairs of countries in V(X) that share a land border. Recall that land borders between countries in the Schengen Area are special in that they can be crossed without a passport. (a) The notions of a country and a land border are somewhat ambiguous. Explain the notions you will use to get a precise definition of the graphs W, U, and S. (b) Is S a subgraph of U? Is U an induced subgraph of W? Justify your answers. (c) Using non-mathematical language, explain what it means for a country x if VEV(S) and dw (v) = 0. Give all such countries. Let A = {v Є V(W) \V(S) such that |Nw(v)| > 0 and Nw (v) ≤ V(S)}. (d) Using non-mathematical language, explain what the set A represents in terms of countries and land borders. Give a specific element of A or explain why A…arrow_forward3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains either a value or a formula that depends on the values of other cells. (a) Describe a graph, digraph, or network that models an arbitrary spreadsheet and allows you to answer the remaining parts of this question. (b) Explain, by referring to the graph, digraph, or network, when it is possible to change the value of cell x without changing the value of cell y. (c) Explain, by referring to the graph, digraph, or network, when it is possible to calculate the values of all cells in the spreadsheet. Consider the following spreadsheet with 5 rows, 7 columns, and 35 cells. For exam- ple, cell el contains a value, whereas cell al contains a formula that depends on the values cells el and 95. a b с d e f g 1 el+g5 al-c5 110 al+cl 180 f5-el c1+c2 2 al+bl a2+c4 240 a2+c2 120 f5-e2 e3+e5 3 a2+b2 a3-c3 100 a3+c1 200 f5-e3 f1+f2 4 a3+b3 a4+c2 220 a4+c2 100 f5-e4 f3+f4 5 a4+b4 a5-c1 130 a5+c5 120 g3+g4 gl+g2 (d) Can…arrow_forward
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