NCERT Solutions For Class 11 Maths Chapter 3 Trigonometric Functions are available at BYJU’S, which are prepared by our expert teachers. All these solutions are written as per the latest guidelines of CBSE. BYJU’S provides step by step solutions by considering the different understanding levels of students and the marking scheme. Chapter 3 Trigonometric Functions of NCERT Class 11 Maths is an important chapter for students. Though the chapter has more mathematical terms and formulae, BYJU’S made NCERT Solutions for Class 11 Maths is easy for the students to understand and remember them using tricks.
Trigonometry is developed to solve geometric problems involving triangles. Students cannot skip Trigonometric chapters since this is being used in many areas such as finding the heights of tides in the ocean, designing electronic circuits, etc., In the earlier classes, students have already studied trigonometric identities and applications of trigonometric ratios. In Class 11, trigonometric ratios are generalised to trigonometric function and their properties. However, these NCERT Solutions of BYJU’S help the students to attain more knowledge and score full marks from this chapter.
Access Answers of Maths NCERT Class 11 Chapter 3- Trigonometric Functions
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. BYJU’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.
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.
3.2.1 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.
3.5 Trigonometric Equations
In this section, a few important terms are defined such as principal solution, general solution of trigonometric functions, which are explained using examples too.
Exercise 3.1 Solutions 7 Questions
Exercise 3.2 Solutions 10 Questions
Exercise 3.3 Solutions 25 Questions
Exercise 3.4 Solutions 9 Questions
Miscellaneous Exercise On Chapter 3 Solutions 10 Questions
Key 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