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RS Aggarwal Class 11 Solutions Chapter-16 Conditional Identities Involving the Angles of a Triangle

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Last updated date: 09th May 2024
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Class 11 RS Aggarwal Chapter-16 Conditional Identities Involving the Angles of a Triangle Solutions - Free PDF Download

Maths as a subject can be pretty challenging at times, with all the equations, formulae, and sums it can be daunting for most of the students. Many students find maths a difficult subject. They find it difficult to solve the sums given in the exercises. Here, on the Vedantu website, we have provided the RS Aggarwal Solutions for Chapter 16 of Class 11 to provide the students with a better understanding of the chapter. The RS Aggarwal Solution Class 11 Chapter 16 Maths deals with Conditional Identities that involve angles of a triangle. It provides a better explanation of the concepts of conditional identities and gives the students a competitive edge at the time of exams.

RS Aggarwal Conditional Identities Class 11 Maths - Free PDF Download

The RS Aggarwal Solutions act as a crucial tool for the preparation of Class 11 examinations. It provides the students with the most trustable and reliable information that will help them to understand the chapter easily. Reference to the solutions will make it easier for the students to understand the concept as well as the sums of conditional identity chapters. The RS Aggarwal Solutions prepared by our expert teachers at Vedantu will help you understand the chapter and the formulas used in the chapter. The solutions PDF are available on our website, and the students can download the PDF for free. 

Competitive Exams after 12th Science

Let us discuss in detail the concepts of Conditional Identities

Conditional Identity

Conditional Identity is a part of Trigonometry, and it basically deals with the special cases that are covered under trigonometry. The identities help to know the relationship between the angles of a triangle. The chapter involves sines and cosines, and it also involves the square of sines and cosines, there are sums that involve tangents. This chapter focuses on the various ways to use trigonometry to identify the relationship between the angles of a triangle. Here we have briefed the whole chapter, which would help the students in the times of their examinations. We have also provided certain important questions to make the students acquainted with the examination pattern. Here are some of the important formulas to be used in the chapter on conditional identities:

  • Sin x + Sin y = 2 sin (x+y/2) cos (x-y/2)

  • Sin x - Sin y = 2 cos (x+y/2) sin (x-y/2)

  • Cos x + Cos y = 2 cos (x+y/2) cos (x-y/2)

  • Cos x - Cos y = - 2 sin (x+y/2) sin (x-y/2)

The type of questions that the chapter covers involve the following:

  • To prove the trigonometric equation when the measurement of the angles of the triangles is given.

  • To prove the trigonometric equation using a formula when the angles of triangles are given.

  • To prove the trigonometric equations involving identities.

Exercise 16 of Chapter 16 Class 11 has a total of 12 sums, and here on our website, we have provided the solutions to each one in an orderly manner. This solution will help the students to excel in their studies and secure better grades. Most importantly, the solutions are prepared as per the latest guidelines of NCERT and the CBSE board.


Preparation Tips for RS Aggarwal Conditional Identities Class 11 Maths

  • Students preparing for the Class 11 examinations should go through chapter 16 thoroughly from the textbook provided to them.

  • They should try to understand the formulas and concepts of the chapter first.

  • The students should not memorise the numerical. Instead, they should practice the numerical at least 2-3 times for better understanding.

  • The students should follow the syllabus and must know the pattern of marks and types of questions that might come in the examination from the conditional identity chapter.


Benefits of RS Aggarwal Solution Class 11 Chapter 16 Maths

The RS Aggarwal Solutions for Chapter 16 of Class 11 is the best-recommended study material for the students of Class 11. Here we have listed down the benefits of the solution.

  • The RS Aggarwal Solutions provide the students with the most reliable set of information.

  • The solutions help the students to understand the different formulas and concepts of conditional identities.

  • The RS Aggarwal Solutions are prepared by some of the most experienced faculties of Vedantu, which makes them error-free and of better quality.


Conclusion

The RS Aggarwal Conditional Identities Class 11 Maths are condensed and simple solutions that students should take reference to while preparing for examinations. The solution offers a step-by-step explanation of each sum and also contains introductory notes on the chapter. The solutions aim to make the study a bit easy and exciting for the students. So, download the PDF of the solution from the Vedantu portal today and start your exam preparations.

FAQs on RS Aggarwal Class 11 Solutions Chapter-16 Conditional Identities Involving the Angles of a Triangle

1. What is Conditional Identity?

Conditional Identity is a part of trigonometry that deals in the exceptional cases of trigonometry involving triangles. The conditional Identity is used to prove the relationship between the angles of a triangle. They involve sums on sines and cosines, squares of sines and cosines, and sums on tangents. Basic knowledge about trigonometric ratios and the related identities and formulas must be acquired to understand conditional trigonometric identities better. In other words, a conditional identity holds true if the variables satisfy a given condition. 

2. What are the formulas used in Conditional Identities?

In Chapter 16 ‘Conditional Identities Involving the Angles of a Triangle’ of Class 11 RS Aggarwal, the questions are based on the concept of solving trigonometric equations using conditional identities. There are basically four formulas that are used in the chapter conditional identities, and they are:

  • Sin x + Sin y = 2 sin (x+y/2) cos (x-y/2)

  • Sin x - Sin y = 2 cos (x+y/2) sin (x-y/2)

  • Cos x + Cos y = 2 cos (x+y/2) cos (x-y/2)

  • Cos x - Cos y = -2 sin (x+y/2) sin (x-y/2)

3. How are the RS Aggarwal Solutions Class 11 Maths Chapter 16 beneficial?

Some sums involve RS Aggarwal Solutions providing complete and detailed information on the chapter to the students. It gives a step-by-step explanation of each sum shown in the exercise and gives the students a competitive edge in the examination. The reference to the solutions will make the learning procedure easy and exciting for the students. These solutions prove to be an innovative resource for students to learn the concepts of their syllabus better by solving the questions along with the solutions. This method allows students to rectify any mistake that they make then and there. Solutions of RS Aggarwal also help in clearing any doubts that the students might have after reading the chapter from the Class 11 RS Aggarwal textbook. 

4. What other study materials are available to download on the Vedantu website other than the RS Aggarwal Solutions for Class 11?

Apart from solutions for all chapters of Class 11 RS Aggarwal solutions, Vedantu offers students a wide range of study materials starting from NCERT solutions to revision notes. These study materials are all free of cost and available to download from the Vedantu website or the app. Revision notes for all classes and all subjects of CBSE, NCERT solutions from classes 1 to 12, Sample papers and worksheets from previous years, ICSE board solutions for all chapters and subjects, etc are some of the study materials available on the Vedantu website beside which students can find many more resources.

5. How many questions are there in Chapter 15 of Class 11 RS Aggarwal for the students to solve?

Chapter 16 of Class 11 RS Aggarwal contains 12 questions within 1 exercise, that is Exercise 16A. The exercise involves questions that cover the entire chapter and all the concepts in it. Some of the important concepts covered in Chapter 16 of Class 11 RS Aggarwal are: 

  • Identities including sines and cosines 

  • Identities that involve sines and cosines and their squares

  • Tangents involving identities

The questions in Exercise 16A are based on proving the trigonometric equation when the angles of a triangle are provided and when the angles are given using equations.