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RD Sharma Class 10 Chapter 6 Solutions (Trigonometric Identities)

RD Sharma Class 10 Maths Solutions Chapter 6 – Trigonometric Identities have been compiled in order to give you a fair idea of the Chapter. Chapter 6 explains the various equations involving Trigonometric Ratios of an angle, also known as Trigonometric Identities. Here one Trigonometric identity is proved first, and then it is used to prove further Trigonometric Identities. The Trigonometric Identities provide various relations between the Trigonometric Ratios Sin θ, Cos θ, Sec θ, Cosec θ, Tan θ, and Cot θ for different angles.

There are 2 exercises with 98 questions in RD Sharma Class 10 Maths Solutions for Chapter 6 – Trigonometric Identities, all of which have been meticulously solved by our team of subject matter experts. The solutions to the given questions are based on proving that the left-hand side equation is equal to the term given in the right-hand side. The questions in which there are fractional terms have been solved by a different approach. Here the denominator of the left-hand side term is rationalized by multiplying and/or dividing with suitable terms and then is equalized with right-hand side term.

The speciality of solutions for RD Sharma Class 10 Maths Trigonometric Identities lies in the fact that it provides a logical flow and gives you sufficient practice. This way, you can easily become thorough with the chapter and clear all your doubts. Our RD Sharma Solutions are clear, effective, and efficient. They help you increase your learning and revising speed during your Class 10 Board exams.

Class 10 Maths Trigonometric Identities: Important Topics

Class 10 Maths Trigonometric Identities teach you that an equation is called an identity when it is true for all values of the variables involved, and this chapter is based on equations involving Trigonometric ratios.

The components of the topic are given below.

 

  • Trigonometric Identities

 

This topic of trigonometry subject teaches you that an equation involving Trigonometric ratios of an angle is called a Trigonometric identity if it is true for all values of the angle(s) involved. Using these Identities, we can express each Trigonometric ratio in terms of other Trigonometric ratios. If anyone of the ratios is known, we can also determine the values of other Trigonometric ratios.

Here you will also learn that any proved Trigonometric equation is called Trigonometric identity when it holds for all angles A such that 0° ≤ A ≤ 90°.

The Trigonometric Identities are –

sin2A + cos2A = 1,

sec2A – tan2A = 1 for 0° ≤ A < 90°,

cosec2A = 1 + cot2 A for 0° < A ≤ 90º.

RD Sharma Class 10 Maths Chapter 6: Exercise Discussion

This is a significant part of the study of Trigonometric Identities, which will prepare you for and clarify concepts even more. RD Sharma Solutions for Class, 10 Maths solutions, contain a total of 98 questions asked in 2 exercises.
Here is a list of the exercises and their components –

Exercise 6.1 

This exercise consists of 86 questions, where some of them ask you to prove the given Trigonometric Identities. Some of the questions ask you to use proved simple Identities to prove other complex Trigonometric Identities. 

Exercise 6.2

This exercise consists of 12 questions. Questions 1 and 2 ask you to find other Trigonometric ratios of an angle when anyone Trigonometric ratio for that angle is already given. Questions 3 to 7 ask you to find the value of complex equations when the value of a related Trigonometric ratio is given.

Benefits of RD Sharma Class 10 Maths Solutions for Chapter 6 – Trigonometric Identities

  • The carefully designed  RD Sharma Class 10 Maths Solutions for Chapter 6 provides a thorough understanding of all topics covered in this chapter in a step by step manner.
  • The solutions are convenient, precise, and user-friendly. 
  • All the questions have detailed answers. They enable you to grasp the methodology of solving questions effectively.
  • You can rely upon the solutions provided for RD Sharma Class 10 Maths Trigonometric Identities for all your practice and revision needs.
  • They help you ace your class 10 board examination as well as perform exceptionally well in various competitive examinations.
  • They have been devised in a manner to make learning Maths a fun experience.
  • They have been drafted as per the latest Class 10 Maths Syllabus. 
  • They cover a wide range of question types important from exam point of view