RS Aggarwal Class 11 Solutions Chapter-17 Trigonometric Equations

Trigonometric equations Class 11 RS Aggarwal is one of the fundamental chapters for the board and competitive exams. The concepts of this chapter are also used in different other subjects. To answer the exercise questions, one has to grasp all these concepts well. The only way to achieve completing this chapter and create a strong foundation is by referring to RS Aggarwal solutions Class 11 maths chapter 17 from Vedantu. These solutions are given in a detailed format, making it easy for students to understand every trigonometric equation concept.

Trigonometric Equations is a chapter that plays a big role in many other chapters including some problems from Physics as well. Hence neglecting a chapter like this is not an option. 

The RS Aggarwal solutions Class 11 maths chapter 17, which is available for free on the Vedantu site. These solutions can be downloaded in a Pdf format. Let's discuss some more details about the chapter trigonometric equations:-

Meaning of Trigonometry

Trigonometry is considered one of the most essential and significant chapters of mathematics. This is a chapter that involves learning that is related to the measurement of angles and sides of a particular triangle. Trigonometry can only be used in triangles that have a right-angled shape. The functions used in trigonometry are used for measuring the length of the arc on a certain circle. The arc is responsible for creating a separate section in the circle which is situated between the radius and its centre point. 

The word trigonometry was derived from three Greek words: ' Tri', which means Three, 'Gon' means Length, and 'Metry', which means measurement. So from these words, we can anticipate that trigonometry is a study of triangles that have angles and lengths on their sides. The basics of trigonometry are related to sine, cosine, and tangent functions. But in trigonometric equations, Class 11 RS Aggarwal students will learn more complex things.

Trigonometric Equations

Trigonometric equations are those equations that involve the trigonometric functions of a particular variable. These trigonometric equations are found to have one or two trigonometric ratios which are of unknown angles. For example, cos x - sin² x = 0 is a kind of trigonometric equation that is not capable of satisfying all the values of x. For this type of equation, students have to find the value of x with help from RS Aggarwal Class 11 maths solutions trigonometry equations.

Everybody must have the general knowledge that sin x and cos x tend to repeat themselves after the interval of 2π. Similarly, tan x tends to repeat itself after the interval of π. The solutions for such trigonometric equations seem to lie between the interval of 0, 2π.

0, 2π are commonly known as principal solutions. 

A trigonometric equation will also have general solutions that would be expressing all the values that can satisfy the given equation. These equations are expressed in a generalized form which is in terms of 'n'.  The general representation of this equation is as follows:

E1 ( sin x, cos x, tan x ) = E2 ( sin x, cos x, tan x )

Where E1 and E2 are considered as rational functions.

Since, sine, cosine, and tangent are the three major components of trigonometric functions, that's why it is mandatory to derive the solution of the equation from these three ratios only. However, to evaluate the solutions of the other three ratios which are secant, cosecant, and cotangent, a student can use the solutions that are already obtained.

After practicing this chapter regularly, students will learn more about this chapter and its concepts and always remember to refer to the RS Aggarwal solutions Class 11 maths chapter 17 for proper guidance.

Preparation Tips For Trigonometric Equations Class 11 RS Aggarwal 

• Students must practice each and every formula properly so that there would be no confusion while appearing for the exams. 

• Students must know where to apply a particular formula to get the answer to that particular question. This is only possible through regular practice.

• Students must be thorough on the concepts and theories of the chapter so that they will be confident during the exams.

• Students should make a schedule for their studies and must keep one to two hours for solving math questions.

Find the detailed solution for trigonometric equations here and make your study sessions better. There is no need to wait to get your queries resolved when you can find the appropriate solution for all the problems mentioned in the exercises of this chapter. Learn how the experts of Vedantu have designed the solutions for these problems and focus on practicing them. It will help you to solve all kinds of problems in board and competitive exams and score more.