[Maths Class Notes] on CBSE Class 10 Maths Chapter 8 – Introduction to Trigonometry Formula Pdf for Exam

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 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. 

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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. 

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.

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. 

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