-10_APPLIED MATHS
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-10_APPLIED MATHS
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Entries
67
Introduction
Theory
Page 7
Chapter 1: Analytic Analysis of Lines
Theory
Page 9
The Coordinate Plane
Theory
Page 10
Analytic Analysis of Points
Theory
Page 10
Analytic Analysis of Triangles
Theory
Page 23
Exercises 1.1
Problem
Page 28
Analytic Analysis of Lines
Theory
Page 30
Trigonometric Ratios of Angles
Theory
Page 30
Slope of a Line
Theory
Page 33
Equation of a Line
Theory
Page 40
Finding the Slope of a Line with a Given Equation
Theory
Page 54
Relative Position of Two Lines
Theory
Page 57
First Degree Inequalities in Two Unknowns
Theory
Page 63
Bunch of Lines (Optional)
Theory
Page 65
Exercises 1.2
Problem
Page 68
Further Applications
Theory
Page 75
Angles Between Two Lines
Theory
Page 75
Distance from a Point to a Line
Theory
Page 77
Distance Between Two Parallel Lines
Theory
Page 79
Equations of Angle Bisectors
Theory
Page 81
Exercises 1.3
Problem
Page 84
Equation of a Circle
Theory
Page 86
Standard Equation of a Circle
Theory
Page 84
General Equation of a Circle
Theory
Page 93
Exercises 1.4
Problem
Page 100
Positions of Lines and Circles
Theory
Page 102
Relative Position of a Line and a Circle
Theory
Page 102
Equations of Tangent and Normal Lines
Theory
Page 106
Relative Position of Two Circles
Theory
Page 113
Exercises 1.5
Problem
Page 117
Chapter Review Test 1A
Test
Page 119
Chapter Review Test 1B
Test
Page 121
Chapter Review Test 1C
Test
Page 123
Chapter Review Test 1D
Test
Page 125
Chapter Review Test 1E
Test
Page 127
Chapter 2: Complex Numbers
Theory
Page 129
Complex Numbers and the Imaginary Unit
Theory
Page 130
The Imaginary Unit
Theory
Page 130
Powers of the Imaginary Unit
Theory
Page 131
Complex Numbers
Theory
Page 133
Conjugate of a Complex Number
Theory
Page 137
Basic Operations in C
Theory
Page 138
Addition and Subtraction
Theory
Page 138
Multiplication
Theory
Page 141
Properties of Addition and Multiplication
Theory
Page 144
Division
Theory
Page 147
Modulus of a Complex Number
Theory
Page 150
Distance Between Two Complex Numbers
Theory
Page 52
Lines and Circles in the Complex Plane
Theory
Page 53
The Colors of Infinity
Other
Page 54
Exercises 2.2
Problem
Page 55
Chapter Review Test 2
Test
Page 56
Chapter 3: Applied Trigonometry
Theory
Page 57
Trigonometric Values of Other Angles
Theory
Page 58
Using a Trigonometric Table
Theory
Page 59
Using a Calculator
Theory
Page 60
Exercises 3.1
Problem
Page 61
Trigonometric Theorems and Formulas
Theory
Page 62
Trigonometric Theorems
Theory
Page 63
The Law of Cosines
Theory
Page 64
The Law of Sines
Theory
Page 65
Formulas for the Area of a Triangle
Theory
Page 66
Further Theorems (Optional)
Theory
Page 67
Applied Trigonometry
Theory
Page 68
Exercises 3.2
Problem
Page 69
Answers
Answer
Page 70
Glossary
Other
Page 71
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