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NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Exercise 3.2 - PDF Download

JEE Mains & Advanced

NCERT solutions for class 11 maths chapter 3 Trigonometric Functions exercise 3.2 provides answers to questions related to trigonometric function graphs, signs, domains and ranges. Through this practice, you gain an understanding of both the analytical and geometrical consequences of trigonometric functions. This exercise has lots of examples and problems to help you figure out how a certain trigonometric ratio works in any of the four quadrants. Students can also look at graphs of different trigonometric ratios and see how they change under different conditions.

Ex 3.2 class 11 maths chapter 3 solutions has plenty of questions to help you get through this exercise quickly. There are a total of 10 questions in ex 3.2. Class 11 maths chapter 3 exercise 3.2 NCERT solutions are prepared in detail by eSaral's subject matter experts with the utmost care. Ex 3.2 class 11 maths ch 3 will help you to revise the concepts and achieve a high score in the exam. You can also access the solutions in PDF format. Download the free PDF of these solutions from the website of eSaral. You can even download the PDF here from the link mentioned below.

Topics Covered in Exercise 3.2 Class 11 Mathematics Questions

Ex 3.2 class 11 maths chapter 3 is based on the topics of trigonometric functions, sign, domain and range of trigonometric functions.


Trigonometric Functions


Sign of trigonometric functions


Domain and range of trigonometric functions

  1. Trigonometric Functions 

You will be taught trigonometric ratios to any radian measure angle and studied as trigonometric functions.

There are six trigonometric functions. Out of whic 3 trigonometric functions (sin x, cos x, tan x) are important and the next three are cosec x, sec x, and cot x, which are their respective reciprocal functions.

Trigonometric functions with pythagorean identities include:

sin2 x + cos2 x = 1

1 + tan2 x = sec2 x

1 + cot2 x = cosec2 x

  1. Sign of trigonometric functions

There are six trigonometric functions in trigonometry, namely sin, cos , tan , cosec , sec and tan. Different quadrants can be used to determine the sign of a trigonometric function.

All functions in the first quadrant are positive. In the second quadrant, only sin and cosec are positive, in the third quadrant, only tan and cot are positive, and in the fourth quadrant, only cos and sec are positive.

  1. Domain and range of trigonometric functions

From the definition of sine and cosine functions, we observe that they are defined for all real numbers. Further, we observe that for each real number x,

                            – 1 ≤ sin x ≤ 1 and – 1 ≤ cos x ≤ 1

You can get the detailed explanation of domain and range of trigonometric functions in chapter 3 trigonometric functions. 

Here, you can download the book

Tips for Solving Exercise 3.2 Class 11 Chapter 3 Trigonometric Functions

NCERT solutions class 11 maths chapter 3 ex 3.2 is a great way to get a better understanding of the topic, with lots of explanations and helpful study tips.

  1. The practical application of the questions presented in ex 3.2 of these solutions facilitates a comprehensive understanding of the entire topic.

  2. In order to acquire a thorough understanding of trigonometric functions, students must draw graphs manually.

  3. Before Solving the questions in this exercise, students should be able to solve any doubts they may have about the fundamental concepts and forms of the trigonometric functions.

Importance of Solving Ex 3.2 Class 11 Maths Chapter 3 Trigonometric Functions

There are numerous benefits of solving questions of ex 3.2 class 11 maths chapter 3. Some of them are provided here for your convenience.

  1. All of the questions have been answered with an easy step wise method and if you carefully analyze the different parts of the trigonometric functions, you will not have any doubt.

  2. By remembering the formula, terms and understanding the graph of trigonometric functions, you will be able to solve the questions asked in exams.

  3. When you regularly revise the topic wise explanation from NCERT solutions class 11 maths chapter 3 ex 3.2, you will feel confident enough to complete your exercise questions.

  4. You can also check your answer in solutions PDF provided by eSaral’s subject experts.

Frequently Asked Questions

Question 1. What are the trigonometric functions in NCERT solutions class 11 maths chapter 3 exercise 3.2?

Answer 1. Trigonometric functions are usually calculated using trigonometric ratios. There are 6 trigonometric ratios, of which 2 (cos and sin) are basic. The major ratios are sin, cos and tan, Tan being derived from sin and cos. The inverse of the three major ratios are cosec, sec and cot. Cosec is inverse of sin, sec is inverse of cos and cot is inverse of tan. These ratios are also referred to as trigonometric functions.

Question 2. Write the name of six trigonometric functions?

Answer 2. The six trigonometric functions are sin, cos, tan, cosec, sec and cot.


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