**Introduction**

Explanations about the scope of the contents covered in the course, as well as by the topics of each of its chapters.

** ****Chapter 1**

Basic Definitions

Scalar and Vector Quantities

Presentation of Direction

Vectors

Direction, Orientation and Module

Types of Vectors

Geometric Sum of Vectors

Result of the Geometric Sum of Two Vectors

Theorem of Chasles

Point and Vector Projections

Theorem of Carnot

Problems to be Solved

**Chapter 2**

Circumference

Oriented Circumference

Orientation and Dimension of Arcs

Dimension of Total Arc of Circumference

Multiple Dimension of the Same Arc

Multiple Dimension of the same Angle

Trigonometry – Definitions

Trigonometric Circumference

Problems to be Solved

**Chapter 3**

Definition, Behavior, Behavior Graph of Functions

Sine

Cosine

Tangent

Cotangent

Secant

Cosecant

Problems to be Solved

**Chapter 4**

Fundamental or Basic Relations between Trigonometric Functions

Development of Basic Relationships between Functions

Additional Relationships between Functions

Derived Relationships between Functions

Problems to be Solved

**Chapter 5**

Relations between Arcs

Values of Functions for Symmetric Arcs

Values of Functions for Complementary Angles

Values of Functions for Supplementary Angles

Value of Functions for Angles that differ by 180

Reduction of any Angle to an Angle of First Quadrant

Problems to be Solved

**Chapter 6**

Expressions for Addition and Subtraction of Angles

Algebraic Value of the Vector Projected on an Axis

Algebraic Expressions for Sums of Two Angles

Algebraic Expressions for Sums of Three Angles

Algebraic Expressions for Subtraction of Two Angles

Algebraic Expressions for Multiple Angles

Algebraic Expressions for Functions of Half Angle

Algebraic Expressions for Functions with Full Angle referenced to Functions of Half Angles

Conversion of Expressions Type Addiction and Subtraction in Expressions Type Product and Vice Versa

Problems to be Solved

** ****Chapter 7**

Table of Values of Trigonometric Functions

Function Value for 0 Degrees

Function Value for 90 Degrees

Function Value for 45 Degrees

Function Value for 60 Degrees

Function Value for 30 Degrees

Function Value for 15 Degrees

Function Value for 75 Degrees

Trigonometric Circumference

Table with Values of the Trigonometric Functions

Problems to be Solved

**Chapter 8**

Solutions of Trigonometric Equations

Sequence for the Solution of Trigonometric Equations

10 Solved Problems

17 Problems to be Solved

**Chapter 9**

Resolution of Triangles using Trigonometry

Relationship between Elements of a Right Triangle

Solutions for Right Triangles,

Cases for Right Triangles

Solutions for any Triangle

Theorem or Law of Sines

Theorem or Law of Cosines

Cases for Any Triangle

Area of Any Type of Triangle

Topics of Basic Geometry

36 Problems to be Solved