Basics of Trigonometry Functions and Identities

Study Notes

Trigonometry is a branch of mathematics that focuses on relationships between the sides and angles of triangles and is concerned with specific functions of angles and their application to calculations The six important trigonometric functions, ratios, and identities are:

Sine (sin)
Cosine (cos)
Tangent (tan)
Cosine (cot)
Cosine (sec)
Cosine (csc)

Trigonometry is further classified into two sub-branches:

Plane Trigonometry
Spherical Trigonometry

Trigonometry helps to find the missing or unknown angles or sides of a right triangle using the trigonometric functions or trigonometric identities Some of the most commonly used trigonometric angles for calculations are 0°, 30°, 45°, 60°, and 90°

Trigonometry is used in many different branches of mathematics, such as geometry, algebra, and Calculus, as it is a prerequisite knowledge for learning Calculus in senior mathematics and is essential for students who wish to pursue Science, Technology, Engineering, and Mathematics (STEM) courses

In trigonometry, angles can be measured in degrees or radians The unit circle is a circle with a radius of 1, and it is used to find the values of trigonometric functions for different angles The Pythagorean identity is a trigonometric identity that relates the sine, cosine, and tangent functions of an angle

Trigonometry is a branch of mathematics that is essential for understanding and problem-solving in many different branches of mathematics and is used in a number of different branches of mathematics, such as geometry, algebra, and Calculus It is a prerequisite knowledge for learning Calculus in senior mathematics and is essential for students who wish to pursue Science, Technology, Engineering, and Mathematics (STEM) courses

In this article, we will discuss the basics of trigonometry, such as trigonometry functions, ratios, trigonometry table, formulas, and many solved examples We will learn about the six important trigonometric functions, ratios, trigonometry table, formulas, and identities, which helps to find the missing or unknown angles or sides of a right triangle using the trigonometric functions or trigonometric identities We will learn about the two sub-branches of trigonometry: Plane Trigonometry and Spherical Trigonometry We will learn about the unit circle and the Pythagorean identity We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution We will learn about the different types of trigonometric problems and their solution [4

Description

Explore the fundamentals of trigonometry, including trigonometric functions, ratios, unit circle, formulas, identities, and their applications in solving right triangle problems. Learn about the essential concepts and classifications of trigonometry, such as plane trigonometry and spherical trigonometry. Gain insights into the unit circle, Pythagorean identity, and different types of trigonometric problems.