RD Sharma Solutions for Class 10 Maths Chapter 6 - Trigonometric Identities

Before tackling the problems in RD Sharma's Chapter 6, it is essential to have a strong command of the three fundamental Pythagorean identities. These form the basis for almost all proofs in this chapter. They are:

• sin²θ + cos²θ = 1
• 1 + tan²θ = sec²θ
• 1 + cot²θ = cosec²θ

Yes, all the solutions for RD Sharma Class 10 Maths Chapter 6 provided by Vedantu are meticulously created and verified to be fully aligned with the latest CBSE syllabus for the 2025-26 academic session. Our subject matter experts ensure that the methods, concepts, and problem types are relevant to the current curriculum, making them a reliable resource for your studies.

Learning a step-by-step method is critical for several reasons. Firstly, it builds logical reasoning, helping you understand how to transition from one mathematical statement to the next. Secondly, in board exams, marks are often allocated for each correct step (LHS = RHS proofs). A clear, sequential method ensures you don't miss out on these marks. Finally, a structured approach helps in breaking down complex problems into manageable parts, reducing the chances of errors.

Trigonometric Identities are essentially relationships between different trigonometric ratios. The previous chapter on Trigonometric Ratios (like sin, cos, tan) provides the foundational building blocks. Chapter 6 uses these fundamental ratios to establish universal truths or 'identities'. For instance, the identity sin²θ + cos²θ = 1 is a relationship that holds true for any angle θ, built directly upon the definitions of sin θ and cos θ from the ratios chapter.

Students often make common mistakes such as:

• Algebraic errors: Incorrectly expanding expressions like (a+b)².
• Incorrect identity application: Using the wrong identity or applying it in an incorrect context.
• Working on both LHS and RHS simultaneously: In proofs, you should typically simplify one side to match the other.

Absolutely. While Class 10 Trigonometric Identities are foundational, mastering them through a comprehensive resource like RD Sharma is crucial for future competitive exams like JEE. These exams test a deep understanding of concepts. The problem-solving skills, logical deduction, and familiarity with manipulating trigonometric expressions that you develop in Class 10 will form the bedrock for tackling more advanced trigonometry problems in Class 11, 12, and beyond.

While proving identities (LHS = RHS) is a major part of the chapter, the RD Sharma solutions also cover other important problem types. These include problems where you need to:

• Evaluate the value of a trigonometric expression without using tables.
• Eliminate the trigonometric ratios from given equations.
• Solve problems based on conditional identities, where a specific condition is given.