NCERT Solutions Class 11 Maths Chapter 3 – Trigonometric Functions
Class 11 and Class 12 Mathematics forms the fundamentals for many future subjects related to engineering, statistics, and artificial intelligence models. So it’s very important for students to get an in-depth understanding of all topics covered in Class 11 and Class 12 Mathematics.
Class 11 Chapter 3 Trigonometric functions is an essential topic as it prepares students for higher grades. It deals with the domain and range of trigonometric functions. In addition, it covers the sum and difference of two angles within the trigonometric functions.
Extramarks Mathematics faculty experts have prepared detailed NCERT Mathematics solutions to help students with their Mathematics preparation. Students can access NCERT Solutions Class 11 Mathematics Chapter 3 on the Extramarks’ website. It comprises a stepwise and detailed description of the various concepts covered in the chapter and also includes basic and advanced level questions. Students are advised to refer to NCERT Solutions Class 11 Mathematics Chapter 3 to perform better in the examination.
These NCERT Solutions notes are prepared by the Extramarks subject experts team with extensive teaching experience. Students of Class 11 can learn and revise essential points, definitions, and Q&A from the study material offered by NCERT Solutions for Class 11 Mathematics Chapter 3.
Key Topics Covered In NCERT Solution for Class 11 Maths Chapter 3
The knowledge of Trigonometric Functions is an essential part of Class 11 Mathematics as it involves studying various relations with sides and angles. Trigonometric functions are used for basic geometric calculations and to explain numeric solutions. Students must have a thorough knowledge of trigonometry as it is a regular feature in many competitive exams. It is important to work out complex angles and dimensions in very little time, therefore, students must apply test taking strategies and they can refer to NCERT Solutions Class 11 Mathematics Chapter 3 to supplement their learning outcome and be satisfied with their preparation.
The key topics covered in NCERT Solutions Class 11 Mathematics Chapter 3 are as follows:
| Exercise |
Topics |
| 3.1 |
Introduction |
| 3.2 |
Trigonometric Equation and Angles |
| 3.3 |
Trigonometric Functions and Ranges |
| 3.4 |
Trigonometric Functions of Sum of Two Angles and Difference of Two Angles |
| Others |
Miscellaneous |
3.1 Introduction
In this section, the students are presented with basic trigonometric calculations and their use. It is expected that you calculate distances using these ratios. The degrees and the radians are two of the most commonly used measurement units for angles. Students studying mathematics and other subjects must understand the fundamentals of measuring angles with trigonometry. The questions provided in NCERT Solutions Class 11 Mathematics Chapter 3 are structured to help students understand core concepts of Trigonometry better.
3.2 Trigonometric Equation and Angles
Students will study measurements of angles in various units, degrees, and radians and their relationships—a solution to the numerical equation that requires converting measures of angles from one format to another. The exercise in Chapter 3 Mathematics Class 11 includes questions on graphs of trigonometric function graphs, domains, signs, and the range.
The exercise includes numerous examples and problems that will help you discover how a specific trigonometric relationship behaves in one or the other of four quadrants. Students can also examine graphs of various trigonometric ratios and how they perform under particular circumstances. Thus, Class 11 Mathematics NCERT Solutions Chapter 3 will benefit the students.
3.3 Trigonometric Functions and Ranges
Trigonometric functions connect the angle of a straight-angled triangle with the proportion of side lengths. Sin, Cos, and Tan are the three main functions. This practice consists of problems based on the trigonometric functions of sum and differences between two angles.
3.4 Sum and Difference of Two Angles
While solving problems with trigonometry, students will come across many problems and situations where they are required to calculate the trigonometric solutions for the sum of two angles or differences of two angles.
3.5 Miscellaneous
The questions in this exercise can be beneficial in revising the essential concepts that are related to Applications of Trigonometric functions.
The identities for the sum and difference are represented by the formulas below:
- sin(x+y) = sin(x)cos(y) + cos(x)sin(y)
- cos(x+y) = cos(x)cos(y) – sin(x)sin(y)
- tan(x+y) = (tan x + tan y)/ (1−tan x • tan y)
- sin(x–y) = sin(x)cos(y) – cos(x)sin(y)
- cos(x–y) = cos(x)cos(y) + sin(x)sin(y)
- tan(x−y) = (tan x–tan y)/ (1+tan x • tan y)
NCERT Solutions Class 11 Maths Chapter 3: Exercise & Solutions
NCERT Solutions Class 11 Mathematics Chapter 3 explains the key concepts based on the trigonometric functions. Students can get access to the NCERT exercise and solutions prepared by Extramarks subject matter experts. It will help students to grasp the topic and essential concepts and also improve their problem-solving speed with accuracy. There are 61 questions in the NCERT Solutions Class 11 Mathematics Chapter 3 : Exercise and Solutions. Furthermore, it has 21 identity-based sums, 12 are intermediate level and 28 of high difficulty level.
Students can get the exercise NCERT Solutions Class 11 Mathematics Chapter 3 by clicking on the links below.
- Class 11 Maths Chapter No. 3 Exercise 3.1 – 7 Questions
- Class 11 Maths Chapter No. 3 Exercise 3.2 – 10 Questions
- Class 11 Maths Chapter No. 3 Exercise 3.3 – 25 Questions
- Class 11 Maths Chapter No. 3 Exercise 3.4 – 9 Questions
- Class 11 Maths Chapter No. 3 Miscellaneous Exercise – 10 Questions
Students may access NCERT Solutions Class 11 Mathematics other chapters by clicking here. In addition, students can also explore NCERT solutions for other Classes below.
- NCERT Solutions Class 1
- NCERT Solutions Class 2
- NCERT Solutions Class 3
- NCERT Solutions Class 4
- NCERT Solutions Class 5
- NCERT Solutions Class 6
- NCERT Solutions Class 7
- NCERT Solutions Class 8
- NCERT Solutions Class 9
- NCERT Solutions Class 10
- NCERT Solutions Class 11
- NCERT Solutions Class 12
NCERT Exemplar Class 11 Maths
The NCERT Exemplar is designed for the students of Class 11 Mathematics under the guidance of CBSE. The Exemplar consists of multiple-choice questions, long-form type questions and short-form type questions. It helps students test their knowledge and preparation. So, they are confident that they will get good marks in their annual exams. Furthermore, Exemplar solutions help to clear the toughest competitive exams. NCERT Exemplar covers all essential topics and concepts prescribed in the Class 11 Mathematics Chapter 3 syllabus.
To score better in the exam, the students can also refer to the NCERT Solutions Class 11 Mathematics Chapter 3 prepared by the Extramarks experienced faculty. Students who have clear theoretical concepts or a strong foundational base can start practising with Exemplar. Both solutions booklet and Exemplar’s notes are available on the Extramarks’ website.
Key Features of NCERT Solutions Class 11 Maths Chapter 3
NCERT Solutions Class 11 Mathematics Chapter 3 promotes core fundamentals to have a firm grip on the topics. The solution set covers topics such as trigonometric functions, equations and formulas.
The key features of Extramarks NCERT Solutions for Class 11 Mathematics Chapter 3 include:
- The solutions will help the students to get a quick review of the chapter ahead of the exam.
- It covers essential questions for the board exams and the competitive examinations.
- With the help of NCERT Solutions Class 11 Mathematics Chapter 3, the students can develop a strong foundation in Trigonometric Functions.
- It discusses crucial topics such as trigonometric ratios of acute angles, general solutions, sine, cosine, and other trigonometry formulas. Students can learn the trigonometric ratios and definitions of right angles and hypotenuse sides.