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CBSE Class 10 Maths Chapter 8 - Introduction to Trigonometry Formula

Formula

CBSE Class 10 Maths Chapter 8 - Introduction to Trigonometry Formula

Introduction to Trigonometry Formula for CBSE Class 10 Maths - Free PDF Download

Trigonometry is an important branch of Mathematics that came into existence after the 16th century as a separate branch that works on the right angle triangle using various functions and relationships. It comes from Greek terms such as "Trigonon" which means "Triangle" and "Metron" which means "To measure". For Class 10 board examinations, it is a very important and scoring subject of Mathematics. Therefore, Vedantu has brought compiled pdf of Trigonometry formula Class 10 to make work easy for the students who waste their time here and there to find the consolidated formulas at one place. In this article, you will get the compiled formulas along with some tips to learn formulas easily.

Vedantu is a platform that provides free NCERT Solution and other study materials for students. You can also Download Class 10 Maths Solutions and NCERT Solution Class 10 Science to help you to revise the complete Syllabus and score more marks in your examinations.

Introduction - Trigonometry Formulas for Class 10

Trigonometry is an important branch or topic of Mathematics that deals with specific triangles ie. Right angle triangle. It deals with the sides and angles of this particular triangle along with their several functions and relationships. It deals with six trigonometric functions namely,

Trigonometric Functions Abbreviations

Function Name	Abbreviation
Sine	Sin
Cosine	Cos
Tangent	tan
Cosecant	Cosec or csc
Secant	Sec
Cotangent	Cot

Trigonometry also deals with the basic theory of Pythagoras. Besides this, In a right angle triangle, any side opposite to 90° angle, it is known as Hypotenuse and the side opposite to any theta given is always perpendicular and the remaining side is known as base of the triangle. It is a mathematical concept which is used in real life as well in various places such as in architecture, civil engineering, mapping, surveying, etc.

In Class 10, students get to learn the basics of this branch of Mathematics. There are two chapters that deal with this branch of mathematics namely, introduction to trigonometry and applications of trigonometry. Trigonometry is a very scoring as well as Important chapter for Class 10. In board examinations, almost 10 to 12 marks of paper come from this chapter only. Thus, good preparation of this chapter is very necessary and without formulas it can not be done. That is why Vedantu is here to make your work easy by providing you pdf of Trigonometry formulas for Class 10. The list of all these trigonometric formulas are prepared by the Mathematics experts so that you do not miss only Important concepts or formulas related to this scoring chapter.

Easy Way to Learn All Formulas of Trigonometry Class 10

Mnemonic to learn Trigonometry relationships

It is just a small trick to learn the relationships of trigonometry which goes as follows,

Pandit - Badri - Parsad
Har - Har - Bole
Sona - Chandi Tole

So, here, we have represented this mnemonic in the table. P represents perpendicular, B represents Base and H represents Hypotenuse whereas S means Sin, C means Cos and T means Tan. Now it becomes easy to learn a particular relationship. For Sin, it is P/H and so on. For the relationships of Cosec, you need to inverse the Sin, for Sec inverse the Cos and for Cot, inverse the tan and you get all the relationships so easily.

It is not a fixed trick or mentioned in the text books. It is just made to learn and remember some concepts easily. You can make you own mnemonics to learn difficult things. In this way, you can create tricks for all the trigonometry formulas for Class 10.

P	B	P
H	H	B
S	C	T

How to Memorize the Basic Table of Trigonometric Ratios of Common Angles?

To memorize the basic table of trigonometry which defines the values on different angles of trigonometry ratios, you can follow the below mentioned easy steps:

Basically, you must know the values on different angles such as at 0°, 30° , 45°, 60° and 90° of all the trigonometric ratios. Memorising these values are very important because they are generally used in the questions wherever required. To learn the table, you only need to know the values of Sin.

For the values of Cos A, you need to exactly reverse the values of Sin A. Put the value of Sin 90° to Cos 0° and so on.
For the values of tan A, for particular angle, you need to divide the value of Sin A with Cos A, as you know tan A is also equal to Sin A divided by Cos A. Thus, you got all your values.
For Cosec A, you need to inverse the values of Sin A of a particular angle.
For the values of Sec A, you need to inverse the values of Cos A of a particular angle.
For the values of Cot A, you need to simply invert the values of tan A for a particular angle.

How to Learn the Trigonometry Table?
Sin A	Learn all the values
Cos A	Reverse the values of Sin A
Tan A	Divide Sin A and Cos A
Cosec A	Inverse the values of Sin A
Sec A	Inverse the values of Cos A
Cot A	Inverse the values of Tan A

Did You Know?

Trigonometry is a concept which is associated with music and architecture. The architects or civil engineers actually use trigonometry to design rooms etc. and also used in figuring out the sound waves.

Conclusion

To sum up what we talked about in this article, Trigonometry is an important topic of Class 10 that includes Important formulas without which questions can not be solved. Here, we talked about the basic meaning of trigonometry and some tricks to learn the trigonometric formulas. You can download the pdf of all formulas of Trigonometry Class 10 to use in this chapter. We believe that it will surely save a lot of time of yours in consolidating all the formulas. You can directly learn and use them in this chapter and use the tips to memorize them.

FAQs on CBSE Class 10 Maths Chapter 8 - Introduction to Trigonometry Formula

Q1. What is Trigonometry? What does the branch of Maths deal with?

Ans: Trigonometry can be defined as the study of triangles. The branch of mathematics deals with calculations based on the relationship between side lengths and angles of a triangle. Knowledge of Basics of Trigonometry and Trigonometric Functions is extremely important for students as it has enormous application in our daily lives. For example, the study of Trigonometry is used to measure the height of a building or a pole or difference of heights between two buildings, to measure the distance between any two landmarks, etc. It has a lot of applications in the field of Astronomy.

Q2. Where can I find Class 10 Maths Chapter 8 Introduction to Trigonometry Formulas free PDF?

Ans: You can avail the free PDF of all the important formulas of Class 10 Maths Chapter 8 Introduction to Trigonometry. These are needed to solve problems based on Trigonometric concepts. Download the Trigonometric functions and formulas with detailed explanations and derivations available only on Vedantu. In order to get a clear understanding of the subjects, complex formulas are broken down into simple steps to understanding the concept behind it. Trigonometry is one of the most important chapters of CBSE Class 10 Mathematics textbook and hence, it is crucial to practice the chapter properly with the help of this PDF file.

Q3. How is the Class 10 Maths Chapter 8 Introduction to Trigonometry Formulas useful?

Ans: Students can utilize the PDF file of Class 10 Maths Chapter 8 Introduction to Trigonometric Formulas to find all the formulas and functions related to the chapter at one place. It will help students to practice effortlessly and get good scores in Maths examinations. It will also improve subject knowledge which is crucial to solving complex problems related to the chapter.

Q4. What are the applications of trigonometry?

Ans: Trigonometry concepts have a plethora of applications in various fields of study including Medical Imaging, Electronics, Mechanical Engineering, Civil Engineering, Architecture, Game Development, etc. The chapter’s knowledge is used in the satellite navigation system. Astronauts use the Trigonometry concepts to measure the distance of nearby stars and celestial systems. Trigonometry is found useful in a number of mathematical operations.

Q5. How to get pdf of trigonometry formula Class 10?

Ans. The pdf of formulas is attached here along with this article. You can download the pdf to use it offline along with your practice or you can also visit the website to find out the pdf of Maths formulas for Class 10 Trigonometry. These formulas are consolidated according to the Class 10 level. Unnecessary formulas are not added in this pdf. Trigonometry is a wider chapter which includes much more concepts than we learn in Class 10 which serves as the basics of this chapter. Thus, other concepts and related formulas you will study in higher classes. For Class 10, this pdf is enough for you.

Q6. What is the major benefit of using pdf of trigonometry all formula Class 10?

Ans. All the Trigonometry formulas at one place will help you in doing both the chapters of trigonometry in Class 10. You can learn all formulas of trigonometry Class 10 and use them while practicing and while revising the chapter for exams. It will help also in revising the formulas of both the chapters exactly before the examination. It will enhance your chapter knowledge that will help in solving the questions and getting good scores in exams because this is an important and scoring chapter of Class 10 Mathematics. This topic is also very important in higher classes where you will study it more deeply. You will learn new more concepts and formulas. Besides this, overall it will also enhance your subject knowledge.