Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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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 13.7, Problem 3OE
To determine

To find: The expanded form of each expression by using trigonometric addition formula.

Expert Solution & Answer
Check Mark

Answer to Problem 3OE

The expanded form of given expression by using trigonometric addition formula is given below.

Explanation of Solution

Given:

The given expression is as:

  sin(45°−30°) .

The trigonometric additional formula for sin function is given as:

  sin(x−y)=sinxcosy−cosxsiny .

The expanded form is given as:

  sin(45°−30°)=sin45°cos30°−cos45°sin30° .

Therefore the expanded form of given expression by using trigonometric addition formula is given above.

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Chapter 13.7, Problem 2OE
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Chapter 13.7, Problem 4OE

Chapter 13 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 13.1 - Prob. 1OECh. 13.1 - Prob. 2OECh. 13.1 - Prob. 3OECh. 13.1 - Prob. 4OECh. 13.1 - Prob. 5OECh. 13.1 - Prob. 6OECh. 13.1 - Prob. 7OECh. 13.1 - Prob. 8OECh. 13.1 - Prob. 9OECh. 13.1 - Prob. 10OE
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Prob. 48WECh. 13.5 - Prob. 1OECh. 13.5 - Prob. 2OECh. 13.5 - Prob. 3OECh. 13.5 - Prob. 4OECh. 13.5 - Prob. 5OECh. 13.5 - Prob. 6OECh. 13.5 - Prob. 7OECh. 13.5 - Prob. 8OECh. 13.5 - Prob. 9OECh. 13.5 - Prob. 10OECh. 13.5 - Prob. 11OECh. 13.5 - Prob. 12OECh. 13.5 - Prob. 13OECh. 13.5 - Prob. 14OECh. 13.5 - Prob. 15OECh. 13.5 - Prob. 16OECh. 13.5 - Prob. 1WECh. 13.5 - Prob. 2WECh. 13.5 - Prob. 3WECh. 13.5 - Prob. 4WECh. 13.5 - Prob. 5WECh. 13.5 - Prob. 6WECh. 13.5 - Prob. 7WECh. 13.5 - Prob. 8WECh. 13.5 - Prob. 9WECh. 13.5 - Prob. 10WECh. 13.5 - Prob. 11WECh. 13.5 - Prob. 12WECh. 13.5 - Prob. 13WECh. 13.5 - Prob. 14WECh. 13.5 - Prob. 15WECh. 13.5 - Prob. 16WECh. 13.5 - Prob. 17WECh. 13.5 - Prob. 18WECh. 13.5 - Prob. 19WECh. 13.5 - Prob. 20WECh. 13.5 - Prob. 21WECh. 13.5 - Prob. 22WECh. 13.5 - Prob. 23WECh. 13.5 - Prob. 24WECh. 13.5 - Prob. 25WECh. 13.5 - Prob. 26WECh. 13.5 - Prob. 27WECh. 13.5 - Prob. 28WECh. 13.5 - Prob. 29WECh. 13.5 - Prob. 1MRECh. 13.5 - Prob. 2MRECh. 13.5 - Prob. 3MRECh. 13.5 - Prob. 4MRECh. 13.5 - Prob. 5MRECh. 13.5 - Prob. 6MRECh. 13.5 - Prob. 7MRECh. 13.5 - Prob. 8MRECh. 13.5 - Prob. 1STCh. 13.5 - Prob. 2STCh. 13.5 - Prob. 3STCh. 13.5 - Prob. 4STCh. 13.5 - Prob. 5STCh. 13.5 - Prob. 6STCh. 13.5 - Prob. 7STCh. 13.6 - Prob. 1OECh. 13.6 - Prob. 2OECh. 13.6 - Prob. 3OECh. 13.6 - Prob. 4OECh. 13.6 - Prob. 5OECh. 13.6 - Prob. 6OECh. 13.6 - Prob. 7OECh. 13.6 - Prob. 8OECh. 13.6 - Prob. 9OECh. 13.6 - Prob. 10OECh. 13.6 - Prob. 11OECh. 13.6 - Prob. 12OECh. 13.6 - Prob. 13OECh. 13.6 - Prob. 14OECh. 13.6 - Prob. 1WECh. 13.6 - Prob. 2WECh. 13.6 - Prob. 3WECh. 13.6 - Prob. 4WECh. 13.6 - Prob. 5WECh. 13.6 - Prob. 6WECh. 13.6 - Prob. 7WECh. 13.6 - Prob. 8WECh. 13.6 - Prob. 9WECh. 13.6 - Prob. 10WECh. 13.6 - Prob. 11WECh. 13.6 - Prob. 12WECh. 13.6 - Prob. 13WECh. 13.6 - Prob. 14WECh. 13.6 - Prob. 15WECh. 13.6 - Prob. 16WECh. 13.6 - Prob. 17WECh. 13.6 - Prob. 18WECh. 13.6 - Prob. 19WECh. 13.6 - Prob. 20WECh. 13.6 - Prob. 21WECh. 13.6 - Prob. 22WECh. 13.6 - Prob. 23WECh. 13.6 - Prob. 24WECh. 13.6 - Prob. 25WECh. 13.6 - Prob. 26WECh. 13.6 - Prob. 27WECh. 13.6 - Prob. 28WECh. 13.6 - Prob. 29WECh. 13.6 - Prob. 30WECh. 13.6 - Prob. 31WECh. 13.6 - Prob. 32WECh. 13.6 - Prob. 33WECh. 13.6 - Prob. 34WECh. 13.6 - Prob. 35WECh. 13.6 - Prob. 36WECh. 13.6 - Prob. 37WECh. 13.6 - Prob. 38WECh. 13.6 - Prob. 39WECh. 13.6 - Prob. 40WECh. 13.6 - Prob. 41WECh. 13.6 - Prob. 42WECh. 13.6 - Prob. 43WECh. 13.6 - Prob. 44WECh. 13.6 - Prob. 45WECh. 13.6 - Prob. 46WECh. 13.6 - Prob. 47WECh. 13.6 - Prob. 48WECh. 13.6 - Prob. 49WECh. 13.6 - Prob. 50WECh. 13.6 - Prob. 51WECh. 13.6 - Prob. 52WECh. 13.6 - Prob. 53WECh. 13.6 - Prob. 54WECh. 13.6 - Prob. 55WECh. 13.6 - Prob. 56WECh. 13.6 - Prob. 57WECh. 13.6 - Prob. 58WECh. 13.7 - Prob. 1OECh. 13.7 - Prob. 2OECh. 13.7 - Prob. 3OECh. 13.7 - Prob. 4OECh. 13.7 - Prob. 5OECh. 13.7 - Prob. 6OECh. 13.7 - Prob. 7OECh. 13.7 - Prob. 8OECh. 13.7 - Prob. 9OECh. 13.7 - Prob. 10OECh. 13.7 - Prob. 11OECh. 13.7 - Prob. 12OECh. 13.7 - Prob. 13OECh. 13.7 - Prob. 14OECh. 13.7 - Prob. 15OECh. 13.7 - Prob. 16OECh. 13.7 - Prob. 1WECh. 13.7 - Prob. 2WECh. 13.7 - Prob. 3WECh. 13.7 - Prob. 4WECh. 13.7 - Prob. 5WECh. 13.7 - Prob. 6WECh. 13.7 - Prob. 7WECh. 13.7 - Prob. 8WECh. 13.7 - Prob. 9WECh. 13.7 - Prob. 10WECh. 13.7 - Prob. 11WECh. 13.7 - Prob. 12WECh. 13.7 - Prob. 13WECh. 13.7 - Prob. 14WECh. 13.7 - Prob. 15WECh. 13.7 - Prob. 16WECh. 13.7 - Prob. 17WECh. 13.7 - Prob. 18WECh. 13.7 - Prob. 19WECh. 13.7 - Prob. 20WECh. 13.7 - Prob. 21WECh. 13.7 - Prob. 22WECh. 13.7 - Prob. 23WECh. 13.7 - Prob. 24WECh. 13.7 - Prob. 25WECh. 13.7 - Prob. 26WECh. 13.7 - Prob. 27WECh. 13.7 - Prob. 28WECh. 13.7 - Prob. 29WECh. 13.7 - Prob. 30WECh. 13.7 - Prob. 31WECh. 13.7 - Prob. 32WECh. 13.7 - Prob. 33WECh. 13.7 - Prob. 34WECh. 13.7 - Prob. 35WECh. 13.7 - Prob. 36WECh. 13.7 - Prob. 37WECh. 13.7 - Prob. 1MRECh. 13.7 - Prob. 2MRECh. 13.7 - Prob. 3MRECh. 13.7 - Prob. 4MRECh. 13.7 - Prob. 5MRECh. 13.7 - Prob. 6MRECh. 13.7 - Prob. 7MRECh. 13.7 - Prob. 8MRECh. 13.7 - Prob. 9MRECh. 13.7 - Prob. 10MRECh. 13.7 - Prob. 11MRECh. 13.7 - Prob. 12MRECh. 13.7 - Prob. 1CECh. 13.7 - Prob. 2CECh. 13.7 - Prob. 3CECh. 13.7 - Prob. 4CECh. 13.8 - Prob. 1OECh. 13.8 - Prob. 2OECh. 13.8 - Prob. 3OECh. 13.8 - Prob. 4OECh. 13.8 - Prob. 5OECh. 13.8 - Prob. 6OECh. 13.8 - Prob. 7OECh. 13.8 - Prob. 8OECh. 13.8 - Prob. 9OECh. 13.8 - Prob. 10OECh. 13.8 - Prob. 11OECh. 13.8 - Prob. 12OECh. 13.8 - Prob. 1WECh. 13.8 - Prob. 2WECh. 13.8 - Prob. 3WECh. 13.8 - Prob. 4WECh. 13.8 - Prob. 5WECh. 13.8 - Prob. 6WECh. 13.8 - Prob. 7WECh. 13.8 - Prob. 8WECh. 13.8 - Prob. 9WECh. 13.8 - Prob. 10WECh. 13.8 - Prob. 11WECh. 13.8 - Prob. 12WECh. 13.8 - Prob. 13WECh. 13.8 - Prob. 14WECh. 13.8 - Prob. 15WECh. 13.8 - Prob. 16WECh. 13.8 - Prob. 17WECh. 13.8 - Prob. 18WECh. 13.8 - Prob. 19WECh. 13.8 - Prob. 20WECh. 13.8 - Prob. 21WECh. 13.8 - Prob. 22WECh. 13.8 - Prob. 23WECh. 13.8 - Prob. 24WECh. 13.8 - Prob. 25WECh. 13.8 - Prob. 26WECh. 13.8 - Prob. 27WECh. 13.8 - Prob. 28WECh. 13.8 - Prob. 29WECh. 13.8 - Prob. 30WECh. 13.8 - Prob. 31WECh. 13.8 - Prob. 32WECh. 13.8 - Prob. 33WECh. 13.8 - Prob. 34WECh. 13.8 - Prob. 35WECh. 13.8 - Prob. 36WECh. 13.8 - Prob. 37WECh. 13.8 - Prob. 38WECh. 13.8 - Prob. 39WECh. 13.8 - Prob. 40WECh. 13.8 - Prob. 41WECh. 13.8 - Prob. 42WECh. 13.8 - Prob. 43WECh. 13.9 - Prob. 1OECh. 13.9 - Prob. 2OECh. 13.9 - Prob. 3OECh. 13.9 - Prob. 4OECh. 13.9 - Prob. 5OECh. 13.9 - Prob. 6OECh. 13.9 - Prob. 7OECh. 13.9 - Prob. 8OECh. 13.9 - Prob. 9OECh. 13.9 - Prob. 10OECh. 13.9 - Prob. 11OECh. 13.9 - Prob. 1WECh. 13.9 - Prob. 2WECh. 13.9 - Prob. 3WECh. 13.9 - Prob. 4WECh. 13.9 - Prob. 5WECh. 13.9 - Prob. 6WECh. 13.9 - Prob. 7WECh. 13.9 - Prob. 8WECh. 13.9 - Prob. 9WECh. 13.9 - Prob. 10WECh. 13.9 - Prob. 11WECh. 13.9 - Prob. 12WECh. 13.9 - Prob. 13WECh. 13.9 - Prob. 14WECh. 13.9 - Prob. 15WECh. 13.9 - Prob. 16WECh. 13.9 - Prob. 17WECh. 13.9 - Prob. 18WECh. 13.9 - Prob. 19WECh. 13.9 - Prob. 20WECh. 13.9 - Prob. 21WECh. 13.9 - Prob. 22WECh. 13.9 - Prob. 23WECh. 13.9 - Prob. 24WECh. 13.9 - Prob. 25WECh. 13.9 - Prob. 26WECh. 13.9 - 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