RD Sharma Class 11 Maths Solutions Chapter 7 - Trigonometric Ratios of Compound Angles

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RD Sharma Solutions for Class 11 Maths Chapter 7 - Free PDF Download

Maths isn't as difficult as it sounds. For many people, it is a subject they absolutely fear. It is one of the few subjects that will help you even after education. It’s also widely used in science subjects like Physics and Chemistry. The best thing about Maths is that, once you start understanding the subject and core concept, it can be your most favourite and scoring subject. It’s not a big task, in fact, it is easier than it looks. To help students, by building the core knowledge Vedantu provides RS Aggarwal Solution for Class 11. This is one of the most preferred solution books by teachers and students across different boards. It covers all the concepts of maths in an easily understandable manner that helps students understand the concepts more effectively.

Chapter 7- Trigonometric Ratios of Compound Angles

Trigonometry is a branch of mathematics that deals with the length and angle of a triangle. The term Trigonometry is derived from the Greek word; Where 'Trigono' means Triangle, 'Metry' means Measure. In this chapter, you will learn the value of a Trigonometric Function at the sum or difference, the maximum and minimum value of Trigonometric expression, various types of angles, their properties, and a few theorems. This chapter consists of 90 questions and is divided into 2 exercises (7A, 7B).

Exercise 7A deals with the problems of evaluating the value of trigonometric functions at sum or difference and proving the theorems.

Exercise 7B deals with problems of maximum and minimum value of trigonometric expressions and the expression of certain algorithms. To learn these concepts in an easy manner with in-depth understanding, Vedantu provides RS Aggarwal Solution for Class 11 Chapter 7- Trigonometric Ratios of Compound Angles- PDF for free.

FAQs on RD Sharma Class 11 Maths Solutions Chapter 7 - Trigonometric Ratios of Compound Angles

1. Where can I find reliable, step-by-step solutions for RD Sharma Class 11 Maths Chapter 7?

Vedantu offers comprehensive and expert-verified solutions for RD Sharma Class 11 Maths Chapter 7 - Trigonometric Ratios of Compound Angles. These solutions are meticulously crafted to align with the latest CBSE 2025-26 syllabus, ensuring every problem is broken down into logical, easy-to-follow steps for complete conceptual clarity.

2. What are the key formulas covered in the RD Sharma solutions for Chapter 7?

The solutions for this chapter focus on mastering the addition and subtraction formulas for trigonometric functions. The core formulas you will learn to apply are:

sin(A ± B) = sin(A)cos(B) ± cos(A)sin(B)
cos(A ± B) = cos(A)cos(B) ∓ sin(A)sin(B)
tan(A ± B) = (tan(A) ± tan(B)) / (1 ∓ tan(A)tan(B))

The solutions also extensively cover related formulas for cot(A ± B) and other derived identities.

3. How can I use the compound angle formulas from Chapter 7 to find values for angles like 15° and 75°?

This is a primary application of the concepts in this chapter. You must express the given angle as a sum or difference of standard angles (0°, 30°, 45°, 60°, 90°). For instance:

To calculate sin(15°), you can rewrite it as sin(45° - 30°) and then apply the sin(A - B) formula.
Similarly, to find cos(75°), you express it as cos(45° + 30°) and use the cos(A + B) formula.

The RD Sharma solutions provide numerous solved examples of this method.

4. How do the problems in RD Sharma's Chapter 7 on Compound Angles differ from the NCERT textbook?

While NCERT establishes the foundational concepts, RD Sharma expands on them significantly to build advanced problem-solving skills. The main differences are:

Increased Complexity: RD Sharma includes more challenging problems, intricate proofs, and multi-step questions.
Wider Variety: It offers a greater range of question typologies for each formula, ensuring comprehensive practice.
Competitive Exam Orientation: Many problems are designed to build a strong foundation for competitive entrance exams like JEE.

5. What is a common mistake to avoid when solving problems on trigonometric ratios of compound angles?

A frequent conceptual error is assuming that a trigonometric function can be distributed over a sum or difference of angles, for example, writing sin(A + B) as sin(A) + sin(B). This is fundamentally incorrect. It is crucial to always use the specific expansion formulas, such as sin(A + B) = sin(A)cos(B) + cos(A)sin(B). Practising with the RD Sharma solutions helps eliminate such misconceptions.

6. Do the Vedantu solutions cover all exercises in RD Sharma Class 11 Maths Chapter 7?

Yes, the solutions for RD Sharma Class 11 Maths Chapter 7 on Vedantu are exhaustive. They provide detailed, step-by-step answers for all the problems in every exercise of the chapter, including Exercise 7.1, 7.2, and the miscellaneous exercises. This ensures that you have complete and reliable support for your entire practice session.

7. Why are the RD Sharma solutions for this chapter considered essential for scoring well in exams?

These solutions are vital for exam success because they help students master the application of complex formulas. They provide a structured methodology for tackling trigonometric proofs and numericals, cover a vast array of question types to prevent surprises in the exam, and help build the speed and accuracy needed to score full marks as per the CBSE evaluation guidelines.