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NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions - PDF Download

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Summary

NCERT Solutions for Class 11 Maths Chapter 3 cover Trigonometric Functions across 3 exercises and 1 miscellaneous exercise — 52 questions total. Solutions include step-by-step workings for angles in degrees and radians, trigonometric identities, signs, domain and range, and sum/difference formulas. Free PDF download is available on eSaral.

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The NCERT solutions for Class 11 Maths Chapter 3 Trigonometric Functions play an important role in establishing a solid basis for trigonometry. In class 11 maths chapter 3, students learn about trigonometric functions which are the foundation for exploring this interesting field of mathematics. Trigonometric Functions deal with the relation between different sides and angles of a triangle. NCERT solutions for class 11 maths chapter 3 will provide students with the necessary fundamental skills to learn trigonometric functions as well as their practical applications. Here, at eSaral we offer NCERT solutions for class 11 maths chapter 3 trigonometric functions, which are developed by our experienced maths teachers. These solutions cover various examples and exercises to help you get a better grasp of concepts. These well-organized solutions will provide you with a simplified approach to effectively  preparing for the exam. 

Trigonometric Functions involve a lot of mathematical formulas, theorems and numericals, so it’s essential that students have plenty of time for practice. NCERT solutions for class 11 maths chapter 3 are well structured  to help you learn trigonometry at an advanced level. These solutions are presented in a comprehensive format that is highly dependable in order to improve problem-solving abilities in an engaging manner. you can download the NCERT solutions free pdf here on eSaral, and practice these solutions.

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Important Topics covered in Chapter 3 - Trigonometric Functions

NCERT solutions for class 11 mathematics chapter 3 are prepared by highly qualified and experienced teachers who focus on the areas of difficulty that students typically face in this chapter. Numerical calculations based on trigonometric formulas, trigonometric function graphs, angles converted from radians to degrees and vice versa and general solutions are explained in detail and stepwise formulae. 

NCERT solutions for class 11 math chapter 3 Trigonometric Functions cover some really important topics.

3.1 Introduction

3.2 Angles

3.2.1 Degree measure

3.2.2 Radian measure

3.2.3 Relation between radian and real numbers

3.2.4 Relation between degree and radian

3.3 Trigonometric Functions

3.3.1 Sign of trigonometric functions

3.3.2 Domain and range of trigonometric functions

3.4 Trigonometric Functions of sum and difference of two angles

3.1 Introduction - Here,  you will find the fundamental trigonometric ratio and their identities, as well as how trigonometrics can be used to solve problems about heights and distances.

3.2 Angles 
             3.2.1 Degree measure
             3.2.2 Radian measure
             3.2.3 Relation between radian and real numbers
             3.2.4 Relation between degree and radian

This section discusses various terms associated with trigonometric Functions, such as the terminal side, the initial sides, the degree and radian of an angle, etc.

3.3 Trigonometric Functions
             3.3.1 Sign of trigonometric functions
             3.3.2 Domain and range of trigonometric functions
Students are able to comprehend the generalized trigonometric function with signs. Additionally, they are able to gain insight into the domain and range of trigonometric functions through the use of examples.

3.4 Trigonometric Functions of sum and difference of two angles - In this section, you will find trigonometric function sum and difference of two angles.

NCERT Solutions for Class 11 Maths Chapter 3 Exercises

There are 3 exercises as well as one miscellaneous exercise in this chapter to help students to understand the concepts associated with trigonometric functions in a clear manner.
Our subject -  matter experts at eSaral cover all the topics and solutions for class 11 maths chapter 3 with clear explanations and formulas.

Exercise 3.1

7 Questions & Solutions

Exercise 3.2

10 Questions & Solutions

Exercise 3.3

25 Questions & Solutions

Miscellaneous Exercise 

10 Questions & Solutions

Benefits of Downloading The NCERT Solutions for Class 11 Maths Chapter 3 - Trigonometric Functions

  1. As you read through the chapter 3 solutions, you’ll be able to answer any question in the chapter.
  2. The NCERT solutions for class 11 maths chapter 3 serve as a reliable source of accurate solutions. Students can be confident that they are learning the correct methods to approach problems. 
  3. The NCERT solutions for class 11 maths  chapter 3 enable students to progress at their own pace, as they are able to re-visit any topic multiple times until they have achieved a comprehensive understanding.
  4. With regular use of these NCERT solutions, students learn how to solve a range of trigonometric problems, helping them develop problem-solving skills.
  5. Time management is an important factor to consider when taking exams. These NCERT solutions provided by our subject experts can help students learn how to effectively manage their time while successfully solving trigonometric problems.

Before working through this chapter, skim the trigonometry formula page once — every identity used across these exercises is listed there in one place.

Frequently Asked Questions

What are the main topics in NCERT Class 11 Maths Chapter 3?

Chapter 3 covers four main areas: introduction to trigonometric ratios and identities, angle measurement in degrees and radians (including conversion between the two), trigonometric functions on the coordinate plane (signs, domain, range), and sum/difference formulas for two angles. These topics form the backbone of all advanced trigonometry covered in Classes 11 and 12.

How many exercises are in Class 11 Maths Chapter 3?

There are 3 exercises and 1 miscellaneous exercise in Chapter 3 — 52 questions in total. Exercise 3.1 has 7 questions on degree-radian conversion, Exercise 3.2 has 10 questions on trigonometric function values, Exercise 3.3 has 25 questions on identities, and the Miscellaneous Exercise has 10 application-level questions.

Is Chapter 3 Trigonometric Functions important for JEE Main?

Yes, trigonometry is consistently tested in JEE Main every year, typically contributing 2–3 questions. The identities covered in Exercise 3.3 and the Miscellaneous Exercise of Chapter 3 directly correspond to question types seen in JEE Main papers. According to NTA's official analysis of JEE Main patterns, trigonometry and algebra together account for roughly 30–35% of the Mathematics section.

What is the difference between degree measure and radian measure?

Degree measure divides a full rotation into 360 equal parts. Radian measure defines the angle as the ratio of the arc length to the radius of a circle — a full rotation equals 2π radians. The conversion formula is: Degrees = Radians × (180/π) and Radians = Degrees × (π/180). Radian measure is the standard unit in higher mathematics and calculus.

How do you remember the domain and range of all six trigonometric functions?

The most reliable method is to understand the unit circle rather than memorising blindly. Sin and cos are defined for all real numbers and always output values between −1 and 1. Tan and cot are undefined where the denominator (cos and sin, respectively) equals zero, giving excluded points at multiples of π/2 or π. Sec and cosec are reciprocals of cos and sin, so their ranges exclude the open interval (−1, 1).

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