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RD Sharma Class 11 Solutions Chapter 11 - Trigonometric Equations

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Last updated date: 22nd Mar 2024
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MVSAT 2024

Download Important RD Sharma Class 11 Solutions for Chapter 11 - Trigonometric Equations Exercise 11.1 - Free PDF

You can download a free PDF of RD Sharma Class 11 Solutions Chapter 11 - Trigonometric Equations Exercise 11.1, solved by expert Mathematics teachers of Vedantu. You can avail these PDFs for free both from the website of Vedantu and its mobile application. All the questions of Chapter 11 - Trigonometric Equations Ex 11.1 come with concise solutions. The RD Sharma Class 11 Maths Solutions help you to revise the complete syllabus and score more marks in the exam. You can also register for the online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams on Vedantu.

You can download the RD Sharma Solutions for Class 11 - Chapter 11 - Trigonometric Equations (Ex 11.1) Exercise 11.1 from Vedantu for absolutely free and use them as per your convenience from the comfort of your homes. 

Competitive Exams after 12th Science

Importance of the RD Sharma Solutions for Class 11 Chapter 11

The solutions for RD Sharma Class 11 Chapter 11 can be downloaded from Vedantu. This PDF can give students an in-depth experience with one of the most important topics of trigonometry, i.e, trigonometric equations. This chapter gives a good overview of trigonometric equations and it is ideal for students aspiring to score good marks in their exams. It covers conceptual as well as numerical aspects of the chapter, giving students overall information that is required to learn. The RD Sharma Class 11 Chapter 11 has been prepared by experts of Mathematics as per the guidelines of the new marking scheme of State board, CBSE board, etc.

What are the Trigonometric Equations?

The equations that contain the trigonometric functions of the angles which are unknown are known as the trigonometric equations. The following are the general solutions for some of the trigonometric equations. 

General Solutions for the Trigonometric Equations

Equations

General Solutions

sin x = 0 

x = nπ

cos x = 0

x = (nπ + π/2)

tan x = 0

x = nπ

sin x = 1

x = (2nπ + π/2) = (4n+1)π/2

cos x = 1

x = 2nπ

sin x = sin θ

x = nπ + (-1)nθ, where θ ∈ [-π/2, π/2]

cos x = cos θ

x = 2nπ ± θ, where θ ∈ (0, π]

tan x = tan θ

x = nπ + θ, where θ ∈ (-π/2 , π/2]

sin 2x = sin 2θ

x = nπ ± θ

cos 2x = cos 2θ

x = nπ ± θ

tan 2x = tan 2θ

x = nπ ± θ


How to Solve Trigonometric Equations? 

  • Find out one function of a single angle.

  • Solve for the values in the found out the trigonometric function. 

  • Solve for a required angle.

  • Solve for the values of the variables.

  • If the question specifies any restrictions, apply those restrictions.

Students are advised and recommended to solve more examples to achieve a good level of understanding of the topics. 

FAQs on RD Sharma Class 11 Solutions Chapter 11 - Trigonometric Equations

1. How does RD Sharma Solutions Class 11 Chapter 11 help with exam preparation?

The RD Sharma Solutions Class 11 Chapter 11 is made so that students have a good understanding of the concepts and score good marks in all their exams. It gives a good explanation of the trigonometric equations which is a highly required topic for any kind of exams as it is one of the most important and most asked topics of trigonometry. Students are suggested to have a thorough revision of the solutions to score good marks in their exams. 

2. What are some of the most important types of questions in trigonometric equations? 

The following are some of the most important types of questions students need to solve to have a better understanding of trigonometric equations. 

  • Solving the linear trigonometric equations in sine and cosine.

  • Solving the equations involving a single trigonometric function.

  • Solving the trigonometric equations which are quadratic in form.

  • Solving the trigonometric equations using the fundamental identities.

  • Solving the trigonometric equations with multiple angles.

  • Solving right-angled triangle problems.

  • Solving the trigonometric equations with the identities.

3. Is studying RD Sharma solutions Class 11 Chapter 11 enough to get a good score in board exams?

Students aiming to score good marks in their boards are advised to refer to the RD Sharma solutions Class 11 Chapter 11 before attempting their board exam question papers. It is enough to prepare and practice this free PDF of solutions to secure a great score in board exams for Class 11 students. It covers easy to hard level of questions so that students will be ready to tackle any kind of questions that can be asked in their exams. 

4. Is RD Sharma Solutions Class 11 Chapter 11 only available online? 

No. Once the student downloads the free PDF provided on the website of Vedantu, it will also be available offline for the students to practice whenever it is required like while revising for their exams and practice. It will also be available online so that students can download it whenever they want to do so. 

You can avail all the well-researched and good quality chapters, sample papers, syllabus on various topics from the website of Vedantu and its mobile application available on the play store. 

5. Is it required to practice all the exercises in RD Sharma Class 11 Chapter 11? 

Yes. It is required to practice all the exercises in RD Sharma Class 11 Chapter 11 because it contains all the required information and types of questions that can be asked in the final exams of Class 11 students. It gives good practice and helps students solve any kinds of problems with ease.