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NCERT Exemplar Class 11 Maths Chapter 3 Solutions: Trigonometric Functions

NCERT Exemplar Solutions for Class 11 Maths Chapter 3 – Trigonometric Functions include extra questions of higher level. These solutions prepared by Instasolv are meant for providing in-depth learning. In these Exemplar solutions, you will be introduced to a lot of important topics of the chapter of NCERT Exemplar Class 11 Maths. This will be really helpful for those who wish to continue to study maths as a subject in further classes.

Some of the main topics of NCERT Maths Exemplar of Class 11 Chapter 3 include Trigonometric Functions, Relation between Degree and Radian, Domain and Range of Trigonometric Functions, Functions of Negative Angles, Trigonometric Equations, Sine, Cosine, and Tangent of some angles less than 90°, General Solution of Trigonometric Equations, Allied or Related Angles, and Some Formulae regarding Compound Angles.

NCERT Exemplar Chapter 3 – Trigonometric Functions has 5 main exercises with around 98 questions in total. There are different types of questions available for practice including short answer type questions, long answer type questions, and multiple-choice questions based on trigonometric functions and more. You can follow the NCERT Exemplar solutions for class 11 maths Chapter 3 provided by Instasolv from anywhere and at any time.

Important Topics for NCERT Maths Exemplar Solutions Class 11 Chapter 3 – Trigonometric Functions

What are the Trigonometric Functions?

Trigonometric functions are basic functions, which consist of an angle. Trigonometric functions define the relation between the angles and sides of a right-angle triangle. Applications of trigonometric functions are very different. For example, any periodic development can be characterized as a sum of trigonometric functions. These functions frequently appear in the solution of differential and functional equations.

The trigonometric functions consist of the following functions: sine, cosine, tangent, cotangent, secant, and cosecant. For each of these functions, there is an opposite trigonometric function.

Allied or Related Angles

Two angles are said to be allied or related angles when their sum or difference is either a multiple of 90° or 0. The angles consisting of θ, 360° —θ, 270° + θ, 180° ± θ, 90° ± θ, etc., are angles allied to the angle θ, if θ is measured in degrees.

Trigonometric Values of Some Angles:

Exercise Discussion of NCERT Maths Exemplar Solutions Class 11 Chapter 3 – Trigonometric Functions

Chapter 3 – Trigonometric Functions of NCERT Exemplar Class 11 Maths describes the domain and range of trigonometric functions. There are 5 main exercises with around 98 questions in total. The description of these exercises are listed below:

Exercise 3.1 – Short Answer Type Questions

NCERT Maths Exemplar Solutions Class 11 Chapter 3 Exercise 3.1 contains a total of 19 questions that are based on the concepts of trigonometric functions and its equations.

Exercise 2.2 – Long Answer Type Questions

In this exercise of Chapter 3 – Trigonometric Functions there are a total of 10 questions that are long answer type questions based on the relation between degree and radian, functions of negative angles, general solution of trigonometric equations, allied or related angles, and some formulae regarding compound angles.

Exercise 3.3 – Objective Type Questions

You‘ll find multiple-choice questions in this exercise of Chapter 3. These questions are based on sine, cosine, and tangent of some angles less than 90° and some general solutions of trigonometric equations.  In these questions, you are required to choose the correct answer out of the four options given.

Exercise 4 and 5 consists of state true or false and fill in the blanks questions which are considered as very short answer type questions. Generally, these questions are helpful where your analyzing skills will be put to test.

Why Use NCERT Maths Exemplar Solutions Class 11 Chapter 3 – Trigonometric Functions by Instasolv?

  • The NCERT Exemplar Solutions for Class 11 Maths Chapter 3 provided by Instasolv can be practised offline when you follow it once.
  • These exemplar solutions would help you to solve the problems comfortably.
  • These solutions assist you to build a good knowledge of basic as well as advanced concepts.
  • Our solutions will give you a detailed and step-wise explanation to the questions given in the exercises of Chapter 3.
  • The solutions are prepared by our expert maths teachers and cover the whole syllabus, in accordance with the NCERT guidelines. 

Maths is one of the important subjects in your Class 11 syllabus. So, follow the NCERT Maths Exemplar Solutions Class 11 Chapter 3 provided by Instasolv to score well in your exams.