Trigonometric Functions NCERT Solutions Class 11 Maths Chapter 3 Exercise 3.1 3.2 3.3 3.4 Miscellaneous Free pdf Notes Study Material download-Anand Classes |
NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions are formulated to explain the fundamental application of trigonometric formulas and the graphs of their functions. Trigonometry is an important part of Class 11 maths that involves studying various relations between sides and angles of triangles.
Trigonometric Functions are applied to define these relations and have numerous applications in various other fields, including science and engineering. They are often used for basic geometric calculations and to explain numeric solutions.
The knowledge of Trigonometric Functions is vital for subjects like astronomy and geography. NCERT Solutions Class 11 Maths Chapter 3 will offer the right foundational skills in students to study trigonometric relations and functions along with their practical applications.
Download the pdf of NCERT Solutions for Class 11 Maths Chapter 3 – Trigonometric Functions
Download NCERT Book of Class 11 Maths Chapter 3 – Trigonometric Functions
Access Exercisewise NCERT Solutions for Class 11 Maths Chapter 3 – Trigonometric Functions
Chapter 3 of Class 11 Maths will enable students to generalize the concept of trigonometric ratios to trigonometric functions. Learning about the properties of Trigonometric Functions and operations based on them is crucial for math studies. With the regular practice of Class 11 Maths NCERT Solutions Chapter 3, students will quickly master the solutions to equations using Trigonometric Functions. The wide range of problems and examples provided in these solutions are beneficial in promoting an in-depth understanding of concepts. To learn and practice with NCERT Solutions Chapter 3 Trigonometric Functions, download the exercises provided in the links below.
- NCERT Solutions Class 11 Maths Chapter 3 Ex 3.1
- NCERT Solutions Class 11 Maths Chapter 3 Ex 3.2
- NCERT Solutions Class 11 Maths Chapter 3 Ex 3.3
- NCERT Solutions Class 11 Maths Chapter 3 Ex 3.4
- NCERT Solutions Class 11 Maths Chapter 3 Miscellaneous Ex
NCERT Solutions for Class 11 Maths Chapter 3 PDF Download free – Trigonometric Functions
Trigonometry sees the use of many formulas, theorems, and steps to solve the sums hence, ensuring that kids allot an ample amount of time for practice is very important. NCERT Solutions for Class 11 Maths Chapter 3 are proficiently modeled to support higher-level math learning. The comprehensive format of these solutions is highly reliable to enhance problem-solving skills in engaging ways.
List of Formulas in NCERT Solutions Class 11 Maths Chapter 3
Memorizing important formulas and concepts is necessary to understand the terms and operations related to trigonometric functions clearly. NCERT Solutions Class 11 Maths Chapter 3 will provide detailed knowledge of all these along with their applications through interesting illustrations. Each concept in these solutions is well-explained with suitable examples and sample problems to promote an in-depth understanding of this topic. Formulas form an integral part of this lesson hence, creating a formulas sheet can be useful for students when they need to practice this topic. Some of the important terms, formulas, and concepts related to Trigonometric Functions explained in these solutions are listed below:
- Trigonometric Functions: Trigonometric Functions are real functions that relate the angle of a right-angled triangle to the ratio of the length of its sides. Sin, Cos, and Tan are the three primary functions.
- Trigonometric Equations: Trigonometric equations are equations that involve the use of trigonometric functions. These trigonometric equations are also known as trigonometric identities when the values of unknown angles for which the functions are defined are satisfied.
- Trigonometric Identities: A trigonometric equation that involves the sum and difference of angles represent a trigonometric identity. For example, sin2 θ + cos2 θ = 1
- Sum and Difference Identities: The sum and difference identities include the following formulas.
- 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)
Important Topics and Subtopics of NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions
This chapter has 6 exercises and a miscellaneous exercise to help students understand the concepts related to Trigonometric Functions clearly. ANAND CLASSES’S provides all the concepts and solutions for Chapter 3 of Class 11 Maths with clear explanations and formulas. The PDF of Maths NCERT Solutions for Class 11 Chapter 3 includes the topics and sub-topics listed below.
3.1 Introduction
The basic trigonometric ratios and identities are given here, along with the applications of trigonometric ratios in solving the word problems related to 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
In this section, different terms related to trigonometry are discussed, such as terminal side, initial sides, measuring an angle in degrees and radian, etc.
3.3 Trigonometric Functions
3.3.1 Sign of trigonometric functions
3.3.2 Domain and range of trigonometric functions
After studying this section, students are able to understand the generalised trigonometric functions with signs. Also, they can gain knowledge on domain and range of trigonometric functions with examples.
3.4 Trigonometric Functions of Sum and Difference of Two Angles
This section contains formulas related to the sum and difference of two angles in trigonometric functions.
Features of NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions
Studying the Trigonometric Functions of Class 11 enables the students to understand the following:
- Introduction to Trigonometric Functions
- Positive and negative angles
- Measuring angles in radians and in degrees and conversion of one into other
- Definition of trigonometric functions with the help of unit circle
- Truth of the sin 2x + cos 2x = 1, for all x
- Signs of trigonometric functions
- Domain and range of trigonometric functions
- Graphs of Trigonometric Functions
- Expressing sin (x±y) and cos (x±y) in terms of sin x, sin y, cos x & cosy and their simple application, identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x
- The general solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a
Frequently Asked Questions (FAQs) on NCERT Solutions for Class 11 Maths Chapter 3-Trigonometric Functions
Q1
What is the Importance of NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions?
NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions are designed by well-qualified teachers and math experts to promote proficient math learning. Each exercise of these solutions is formulated as per the CBSE guidelines to support in-depth learning of Trigonometric Functions and their relations. These competently structured solutions are suitable to enhance math proficiency in students. Regular practice of these solutions will boost students’ confidence in scoring well.
Q2
What are the Important Topics Covered in NCERT Solutions Class 11 Maths Chapter 3?
NCERT Solutions Class 11 Maths Chapter 3 briefly introduces trigonometric ratios and identities along with some core concepts previously studied in grade 10. The important topics covered in these solutions are angle measures, trigonometric functions, their signs, domain, and range. The sum and difference of two angles using trigonometric functions are also included in this chapter.
Q3
Do I Need to Practice all Questions Provided in Class 11 Maths NCERT Solutions Trigonometric Functions?
NCERT Solutions Class 11 Maths Trigonometric Functions are designed in an effective way to facilitate the in-depth learning of concepts. Every question included in these solutions is aimed to improve the conceptual clarity for students to master them easily. The fundamental knowledge of Trigonometric Functions and their use will allow students to apply their knowledge in practical situations. These solutions also form the basis for studying advanced math topics, including calculus. Thus, all sums must be practiced with laser focus.
Q4
How Many Questions are there in Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions?
Q5
NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions has 61 questions in 5 exercises. These problems are sufficient to provide a deep-seated understanding of the entire topic of trigonometric functions, including important formulas, identities, ratios, and operations related to Trigonometric Functions. The jargon-free and lucid math vocabulary used in these solutions are quite proficient in easily imparting a clear step-by-step understanding of each topic as well as subtopics.
Q6
What are the Important Formulas in Class 11 Maths NCERT Solutions Chapter 3?
NCERT Solutions Class 11 Maths Chapter 3 explains the formulas related to the sum and difference of two angles in trigonometric functions. Some of the important concepts related to this topic are based on deriving expressions for trigonometric identities of the sum and difference of angles. These vital concepts are described comprehensively with the help of interesting examples for students to grasp them better. Additionally, kids need to also revise the formulas they have encountered in previous classes as those are also necessary to attempt class 11 trigonometry problems.
Q7
Why Should I Practice NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions?
NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions is a reliable source of learning that gives full guidance for excellent exam preparation. With the help of these solutions, students can cover the whole syllabus of CBSE Class 11 Maths Chapter 3. The format of these solutions is quite intuitive to promote simple and easy learning. Thus, to get the best results kids need to practice these solutions.
What will I learn in Chapter 3 Trigonometric Functions of NCERT Solutions for Class 11 Maths?
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