What is  Trigonometry?

Trigonometry was introduced by Aryabhatta, an Indian mathematician, in his book Aryabhattam. Trigonometry shows the relationship of angles with the sides of a triangle. Trigonometry forms the basis of modern science, for example, the behaviour of how light travels is shown by the sine-cosine relationship, Newton’s laws of motion are derived from the roots of trigonometry, measuring heights of buildings, without measuring them, etc. 

Introduction to Trigonometry Class 10 Maths Notes Chapter 8

CBSE Class 10 Maths Notes Chapter 8 Introduction to Trigonometry are an excellent resource, for knowing all the concepts of a particular chapter in a crisp, and friendly manner. Our articles, help students learn in their language, with proper images, and solved examples for better understanding the concepts.

Chapter 8 of the NCERT Class 10 Maths textbook delves into the world of Introduction to Trigonometry used in real life and covers various topics such as what is trigonometry, fundamentals of trigonometric ratios like sine, cosine, secant, tangent, cosecant, cotangent, and identities. These notes are designed to provide students with a comprehensive summary of the entire chapter and include all the essential topics, formulae, and concepts needed to succeed in their exams.

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What is  Trigonometry?

Trigonometry was introduced by Aryabhatta, an Indian mathematician, in his book Aryabhattam. Trigonometry shows the relationship of angles with the sides of a triangle. Trigonometry forms the basis of modern science, for example, the behaviour of how light travels is shown by the sine-cosine relationship, Newton’s laws of motion are derived from the roots of trigonometry, measuring heights of buildings, without measuring them, etc....

Adjacent and Opposite side of a Right-Angle Triangle

Before starting our discussion with the Trigonometry ratios, we need to understand what is said to be an adjacent side and an opposite side in a right-angle triangle. A point to note is that trigonometric ratios can only be applied to the right-angled triangles. Let us understand adjacent and opposite sides with the below 2 examples....

Trigonometric Ratios

There are a total of 6 trigonometric ratios, which form the basis of trigonometry i.e. sine, cosine, secant, tangent, cotangent, and cosecant. All, the required ratios, are useful in establishing the relation between angle and lengths....

Trigonometric Tables

Measuring values of sin, cos, tan, cot, sec, and cosec, in precise terms is quite a difficult task without a calculator. But this is not true, for all angles, there are 5 special angles, whose value can precisely be written, and also helps in dealing with most of the maths problems. These angles are 0°, 30°, 45°, 60° and 90°....

Range of Trigonometric Functions

The first quadrant signifies the range of angle can be from 0° to 90°. The values given by the trigonometric function, between these angles are called the range of the trigonometric function. For example, the value of sin0°, is 0, sin45°, is , and the value of sin 90° is 1. It shows that the range of sin is [0, 1], and the value of sin, increases in between this range. The below table shows the list of the range of trigonometric functions and their monotonic nature....

Trigonometric Identities

Identities are the equations, which are true for any value of a variable. We have 3 different types of trigonometric identities i.e. Pythagorean identity, reciprocal identity, and quotient identity....

FAQs on NCERT Notes for Class 10 Maths Chapter 8 Introduction to Trigonometry

Q1: What is Trigonometry?...