THE HIGH SCHOOL ALGEBRA and TRIGONOMETRY

THE HIGH SCHOOL
TRIGONOMETRY and ALGEBRA
STRUCTURE and METHOD

- BASICS OF GEOMETRY and TRIGONOMETRY -
High school math formulas algebra and trigonometry structure and method.

OBJECTIVES:

In this text we present the essentials of trigonometry and algebra with some applications. Our aim
is to provide students with a solid working knowledge, which they will be able to apply in other courses
and in their occupations. To this end we emphasize practical skills, problem solving, and computational
techniques. We always try to justify theory by down-to-earth applications.
Our presentation is informal. We believe that a definition-theorem-proof style quickly deadens the interest
of most students at this level. While we include some proofs, we do so only when they give insight into
the subject matter.

A problem situation, resulting from everyday or professional life, so that the student develops an investigative approach.

A clear objective linked to a program capability.

A concrete problem to implement in an autonomous way the capacities worked.

Progressive instructions to meet the notions and a conclusion fixing the essential notions.

The essential notions of the course associated with methods to appropriate the know-how.

Concrete problem situations, echoing the themes of daily and professional life, with graduated difficulty to fully achieve the objectives of the program.

Training exercises to apply and reinforce what you have learned.

A situation of assessment of abilities and knowledge to prepare for the baccalaureate degree.

PREFACE:

Trigonometry formulas are sets of different formulas involving trigonometric identities, used
to solve problems based on the sides and angles of a right-angled triangle. These trigonometry
formulas include trigonometric functions like sine, cosine, tangent, cosecant, secant, cotangent
for given angles. Let us learn these formulas involving Pythagorean identities, product
identities, co-function identities (shifting angles), sum and difference identities, double angle
identities, half-angle identities, etc. in detail in the following sections.

Trigonometry formulas can be classified into different categories based on the trigonometry identities involved. Let us look at the below sets of different trigonometry formulas.

Basic Trig Ratio Formulas: These are trigonometry formulas relating to the basic trigonometric ratios sin, cos, tan, etc.

Reciprocal Identities: This includes trigonometry formulas dealing with the reciprocal relationship between trig ratios.

Trigonometric Ratio Table: Trigonometry values are depicted for standard angles in the trigonometry table.

Co-function Identities: Trigonometry formulas for cofunction identities depict interrelationships between the trigonometry functions.

Sum and Difference Identities: These trigonometry formulas are used to find the value of the trigonometry function for the sum or difference in angles.

Sum to Product Identities: These trigonometry formulas are used to represent the product of trigonometry functions as their sum or vice-versa.

Inverse Trigonometry Formulas: Inverse trigonometry formulas include the formulas related to inverse trig functions like sine inverse, cosine inverse, etc.

Sine Law and Cosine Law Some basic trigonometry formulas can be observed in the image below. Let us study them in detail in the following sections.