An Overview Of The Introduction To Trigonometry Class 10
Trigonometry is the section of mathematics, which deals with the relationship between sides and angles of a triangle. Trigonometry exists because every straight-sided shapes can be broken down into triangles. Furthermore, it shares an intricate relationship with every branch of mathematics.
In this chapter of introduction to trigonometry, you will learn about the fundamental principles of it. Moreover, trigonometry primarily deals with right-angle triangles. In this chapter, you will learn how to find missing angles and sides of a triangle. Furthermore, the word ‘trigono’ means triangle and the word ‘metry’ means measurements.
Chapter 8 Introduction To Trigonometry
The introduction to trigonometry chapter has five sections, dealing with various aspect of trigonometry.
Section 8.1- Introduction
In this section, you will find a small overview along with various examples of trigonometry from your surroundings. For instance, if you are looking at the top of a post from a distance, can you find out its height without measuring it?
Real-life situations like these are calculated under this chapter trigonometry class 10.
The history of trigonometry can be traced back to ancient Egypt and Babylon.
Section 8.2- Trigonometric Ratios
In this part of class 10 chapter trigonometry you will learn about the various ratios of this section of mathematics. You will also learn about trigonometric functions like sine, cosine, etc. Additionally, there are detailed examples along with these explanations for your better understanding.
Furthermore, there is an exercise section, so that you can revise your learning to this point.
Section 8.3- Trigonometric Ratios of Specific Angles
This section of class 10th trigonometry chapter teaches you the ways to calculate trigonometric ratios of different angles. Moreover, you already know about 30°, 45°, 60°, and 90° from your previous geometry class. Additionally, you will also learn about the ratio of 0°.
Furthermore, here us a table comprising the trigonometric ratios of these angles.
Trigonometric Ratios of Specific Angles
Section 8.4- Trigonometric Ratios of Complementary Angels
As you already know that when the sum of two angles is equal to 90°, they are called complimentary angels. In this section of introduction to trigonometry ex 8.4, you will learn in-depth about the ratios associated with such angels.
Section 8.5- Trigonometric Identities
When the values of every variable involved in an equation are true, it is called an identity. Similarly, an equation of trigonometric ratios of an angle is called trigonometric identity, when it is valid for all values of the angles involved.
In this section of NCERT maths class 10 chapter trigonometry, you will learn about this topic in details.
Section 8.6- Summary
This section of CBSE class 10 maths introduction to trigonometry sums up all the points that you have studied in this chapter. This chapter ensures a revision of all the important topics.
Vedantu- Your Ideal Study Partner
Introduction to trigonometry is an essential chapter for class 10. Moreover, this chapter provides you with the basic knowledge of this section of mathematics. You learn about the fundamentals of trigonometry in this part. Additionally, you can visit the official website of Vedantu to access the important formulas and detailed solutions mentioned here.
Furthermore, if you are looking for expert guidance for trigonometry, you can download the Vedantu app and join the live classes. Additionally, you can access various study materials related to mathematics via this app.
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FAQs on Introduction to Trigonometry
1. What Is Trigonometry?
Trigonometry is the segment of mathematics, which deals with the connection between sides and angles of a triangle. Moreover, trigonometry is present throughout geometry, as every straight-sided shapes can be broken down into triangles. Furthermore, it has an intricate bonding with every branch of mathematics.
The word trigonometry came from 16th century Latin derivative from the Greek words triangle and measure. The roots of this subject are traced back to ancient Greece. Furthermore, several Indian influences are present in trigonometry.
2. What Is Geometry?
Geometry is a branch of mathematic which deals with the shape of various objects. Moreover, it is indulged in the spatial relationship among various objects, and the properties of the surrounding space. Geometry is one of the oldest branches of mathematics.
The rise of this section of mathematics is primarily to solve practical problems. The terms geometry has arrived from Greek words, geo (earth) and metron (measure). Additionally, this section primarily deals with flat shapes like square, circle, triangles, etc. and 3-D shapes. However, gradually the boundary of geometry exceeded beyond these shapes and objects. Nowadays, even the most abstract ideas can be developed with the help of geometry.
3. What Are The Practical Uses Of Trigonometry?
There are a plethora of examples of trigonometry’s usability in daily life. For instance, you can use it to calculate the height of a building without measuring it. Moreover, if you know the distance from where you are observing a building and the angle of elevation, you can calculate its height.
Another example of trigonometry is seen in video games. Video game characters often do not jump straight along a y-axis. They use a little curved approach. Hence, the use of trigonometry here can help characters to move past obstacles.
4. What Are The Trigonometric Functions?
Trigonometric functions represent the terms which help during calculations. Moreover, their points of arguments are the angles. These functions describe the connection between the sides and the angels of a right-angle triangle.
Furthermore, the applications of these trigonometric functions are very diverse. There are six trigonometric functions; these are sine, cosine, tangent, cotangent, secant, and cosecant. Moreover, every function has its value at different angles. To find the value of these functions, formulas are used. These are, sine = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent, cot = 1/tan = adjacent/opposite, sec = 1/cos = hypotenuse/adjacent, cosec = 1/sin = hypotenuse/opposite.
