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# RD Sharma Class 11 Maths Solutions Chapter 9 - Trigonometric Ratios of Multiple and Sub-multiple Angles

Last updated date: 17th Sep 2024
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## RD Sharma Solutions for Class 11 Maths Chapter 9 - Free PDF Download

Solutions for Class 11 mathematics chapter 9 “Trigonometric Ratios of Multiple and Sub-multiple Angles” by RD Sharma are available here at Vedantu solved by expert teachers as per the latest CBSE Board syllabus and NCERT Book guidelines. You will find a collection of problems with Solutions on this page which will help you to revise the complete Syllabus and score more marks by having fun. Register for Mathematics tuition to clear your doubts. Subjects like Hindi, Science, English will become easy to study once you get access to CBSE Worksheets, answers, and solutions of other subjects that are available on our Vedantu only.

Question: How can we download solutions for Class 11 mathematics chapter 9 “Trigonometric Ratios of Multiple and Sub-multiple Angles” by RD Sharma?

Answer: Students can download the solutions Class 11 mathematics chapter 9 “Trigonometric Ratios of Multiple and Sub-multiple Angles” by RD Sharma from Vedantu.

‘Trigonometric Ratios of Multiple and Sub-multiple Angles’ is the ninth chapter in the CBSE Mathematics textbooks for class 11 students. ‘Trigonometric Ratios of Multiple and Sub-multiple Angles’ chapter is explained majorly based on trigonometry functions. In this chapter, the given problems are based on the values of trigonometric functions at 2x, x and x/2 in terms of values at x, x/2, and cos x. The solutions for this chapter are prepared by subject matter experts at Vedantu in the best possible ways, which are easily understandable for the students. Students are suggested to use RD Sharma Class 11 Chapter 9 Solutions as the best reference material that helps them to score more marks in their exams. Solutions to this exercise are available in pdf format which is easily accessible. students can easily download the PDF format. Students will be able to study Class 11 mathematics by constantly practising and verifying their answers against the RD Sharma's CBSE Class  mathematics solutions for Chapter 9 -  ‘Trigonometric Ratios of Multiple and Sub-multiple Angles’ provided by Vedantu.

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## RD Sharma Solutions Class 11 Chapter 9 Trigonometric Ratios of Multiple and Submultiple Angles - Exercises download links

Vedantu has provided step by step solutions for all exercise questions given in the pdf of Class 11 RD Sharma Chapter 9 - Trigonometric Ratios of Multiple and Submultiple Angles. All the Exercise questions with solutions in Chapter 9 - Trigonometric Ratios of Multiple and Submultiple Angles are given below:

Exercise 9.1

Exercise 9.2

Exercise 9.3

### RD Sharma Solutions Class 11 Chapter 9  Trigonometric Ratios of Multiple and Submultiple Angles - concepts

Following are the concepts discussed in this chapter in all the exercises.

• Calculation of values of trigonometric functions at ‘2x’ in terms of values at ‘x’.

• Calculation of values of trigonometric functions at ‘x’ in terms of values at ‘x/2’.

• Calculation of values of trigonometric functions at ‘x/2’ in terms of values at ‘cos x’.

• Calculation of values of trigonometric functions at ‘3x’ in terms of values at ‘x’.

• Calculation of values of trigonometric functions at ‘x’ in terms of values at ‘x/3’.

• Calculation of the values of trigonometric functions at some important points.

### Benefits of RD Sharma Solutions for Class 11 Maths Chapter 9 - ‘Trigonometric Ratios of Multiple and Sub-multiple Angles’

Having math solutions in the preparation process is a great teaching resource. Some of the benefits of CBSE Solutions for Class 11 Mathematics Chapter 9 ‘Trigonometric Ratios of Multiple and Sub-multiple Angles’ by RD Sharma are mentioned below.

• There is no wonder that mathematics plays a vital role in mental development and analytical skills. Solutions for Class 11 mathematics chapter 9 “Trigonometric Ratios of Multiple and Sub-multiple Angles” by RD Sharma do the best for students to make them perform well.

• Solutions for Class 11 mathematics chapter 9 “Trigonometric Ratios of Multiple and Sub-multiple Angles” by RD Sharma are one of the Effective tools of long-lasting learning. Students can remember the formulae very easily.

• Problem-solving is always enjoyable. Every student’s mathematical knowledge will help in solving hypothetical and real-world problems in real life. Solutions for Class 11 mathematics chapter 9 “Trigonometric Ratios of Multiple and Sub-multiple Angles” by RD Sharma can help the students to do this.

• By referring to the Solutions for Class 11 mathematics chapter 9 “Trigonometric Ratios of Multiple and Sub-multiple Angles” by RD Sharma, students will be able to understand the difficult theories.

• This practice of Solutions for Class 11 mathematics chapter 9 “Trigonometric Ratios of Multiple and Sub-multiple Angles” by RD Sharma raises the interest level of the students.

## FAQs on RD Sharma Class 11 Maths Solutions Chapter 9 - Trigonometric Ratios of Multiple and Sub-multiple Angles

1. Where can I find these RD Sharma solutions for CBSE Class 11 mathematics solutions for Chapter 9 -  ‘Trigonometric Ratios of Multiple and Sub-multiple Angles’?

You can find these RD Sharma's CBSE Class 11 mathematics solutions for Chapter 9 -  ‘Trigonometric Ratios of Multiple and Sub-multiple Angles’  for the problems that are given in the exercises on the Vedantu app or website. These solutions are written by subject matter experts. Along with RD Sharma's CBSE Class mathematics solutions for Chapter 9 -  ‘Trigonometric Ratios of Multiple and Sub-multiple Angles’, students can also find important formulas to clear their doubts on their own. These solutions are provided free of cost and there are no additional charges. Once students sign in and then they will be able to find solutions in a pdf format. Every student should take advantage of these free resources that will surely help them crack their exams.

2.  Why is practising mathematics essential for CBSE class 11?

As the grades which a student can secure in the board exam, Mathematics Solutions For Class 11 plays an important role in shaping the future of the student. We all know that the CBSE Class 10 board exams are the public exams that every student has to face. This exam aims to test the student’s practical as well as theoretical knowledge. Hence, students need to have an understanding of the mathematical concepts. relating the concepts to real-world applications will help the students have strong practical knowledge as well.

3. How to score more in mathematics by using RD Sharma CBSE Class 11 mathematics solutions for Chapter 9 ?

We all know that hard work is the only way to get success in any exam. It will help us to score well in the examination. so, having a pdf that has RD Sharma's solutions of CBSE Class 11 Mathematics Chapter 9  is a great tool to practice what we learned in that particular chapter. Along with practice, students are suggested to solve previous year sample papers. By working on these sample papers, students can also improve their time management skills. Hence, students can score well by enhancing all these skills.

4. What is the main advantage of having RD Sharma solutions for CBSE Class 11 mathematics solutions for Chapter 9?

There are many advantages of having RD Sharma's solutions of CBSE Class 11 Mathematics Chapter 9 PDF. At the end of each exercise, students will learn how to solve a trigonometric sum in an easy way as well as formulae. With the help of these RD Sharma's solutions, students can improve their problem-solving ability and improve their confidence in the subject. This will get students familiar with the paper pattern, question type. With the help of this RD Sharma's solutions pdf, students will be able to understand the formulae simply. 'Vedantu' provides free study materials which can be downloaded from the Vedantu site an app.

5. Why is it important to work on ‘Trigonometric Ratios of Multiple and Sub-multiple Angles’ rather than other chapters?

The Central Board of Secondary Education (CBSE) is one of the most prestigious and oldest educational boards in India. The Central Board of Secondary Education aims to provide the best education to all its students so that they can develop both mentally and physically. The class 11 mathematics syllabus of CBSE is designed to score more marks to develop confidence in students. The present chapter ‘‘Trigonometric Ratios of Multiple and Sub-multiple Angles’ is one of the easiest chapters where students can score more marks in their public examination.