Table of Contents:

Introduction

Trigonometry Basics

Trigonometry Ratios

Trigonometric Table

Important Trigonometry Angles

List of Trigonometry Formulas

Examples in Real Life

Applications

Problems and Solutions

FAQs

Introduction to Trigonometry

The study of triangles dates back to the 2nd millennium, found in the Babylonian and Egyptian mathematical records. However, the roots of modern trigonometry can be traced back to the Greeks, with Hipparchus credited with creating the first table for trigonometric functions. Later on, Indian mathematicians like Aryabhata I contributed further by giving the first table of sines in trigonometry. As we moved into the Middle Ages, Arab mathematicians like Al-Khwarizmi added further to our understanding of this field. This knowledge transferred to the Latin West during Renaissance and from there it moved on to the West, where great mathematicians like Isaac Newton and Leonhard Euler laid the foundation for modern trigonometry.The word ‘Trigonometry’ comes from the Greek terms ‘trigōnon’ for ‘triangle’ and ‘metron’ for ‘measure’. In simple words, it is the study of relationships that deal with angles, lengths and heights of triangles and relations between different parts of circles and other geometrical figures. Applications of this branch of mathematics are found in engineering, astronomy, physics and architectural design.

Trigonometry Basics

A right-angle triangle is a special triangle in which one angle is 90° and the other two are less than 90°. Furthermore, each side of the right angle triangle has a name:

Hypotenuse: It is the largest side of the triangle. Also, it is opposite the right angle of the triangle.

Base: The side on which the right angle triangle stands is known as its base. Moreover, any of the two sides other than the hypotenuse can be chosen as the base for performing the calculation.

Perpendicular: It is the side perpendicular to the base of the right-angled triangle.

Trigonometry formulas are based on the relationships between these three sides and trigonometry angles.