THE HIGH SCHOOL TRIGONOMETRY and ALGEBRA

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