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# RD Sharma Class 12 Solutions Chapter 4 - Inverse Trigonometric Functions (Ex 4.1) Exercise 4.1 Last updated date: 26th Nov 2023
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## RD Sharma Class 12 Solutions Chapter 4 - Inverse Trigonometric Functions (Ex 4.1) Exercise 4.1 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 4 - Inverse Trigonometric Functions Exercise 4.1 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 4 - Inverse Trigonometric Functions Ex 4.1 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

RD Sharma Class 12 Maths Solutions Chapter 4 Inverse Trigonometric Functions are presented comprehensively to help students achieve high grades in their academics. Class 12 is an important stage in a student's life because it helps them achieve their further studies objectives. We primarily focus on providing answers that correspond to students' grasping abilities. To make learning enjoyable and interesting, our faculty has provided exercise-by-exercise solutions for each chapter based on RD Sharma Solutions. Students can download the solutions and use them to solve problems and get their questions answered right away.

The solutions are based on the most recent CBSE syllabus and are presented in a step-by-step format following the exam pattern and mark weightage. Here you will find RD Sharma Solutions for Class 12 Chapter 4 Inverse Trigonometric Functions PDF. Regular practice of Chapter 4 Inverse Trigonometric Functions builds confidence in the ability to solve complex problems efficiently. There are fourteen exercises in this chapter. Let us take a look at some of the key concepts covered in this chapter.

• Definition and meaning of inverse trigonometric functions

• Inverse of sine function

• Inverse of cosine function

• Inverse of tangent function

• Inverse of secant function

• Inverse of cosecant function

• Inverse of cotangent function

• Properties of inverse trigonometric functions

Trigonometric functions, also known as Circular Functions, are simply functions of a triangle's angle. These trig functions define the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions. You can also read about trigonometric identities here.

Some several trigonometric formulas and identities denote the relationship between functions and aid in the calculation of triangle angles. All of these trigonometric functions, along with their formulas, are explained in detail here to help readers understand them.

You will also come across a table that shows the value of these ratios for various degrees. You will also be able to solve many trigonometric examples and problems using this table.

### There are Six Trigonometric Functions.

The sine, cosine, and tangent angles are the primary classification of trigonometric functions. The primary functions can be used to derive the three functions cotangent, secant, and cosecant. In general, the other three functions are more commonly used than the primary trigonometric functions. Consider the diagram below as a resource for an explanation of these three primary functions.

### The Sine Function

The sine function of an angle is the ratio of the opposite side length to the hypotenuse length.

Sin a =Opposite side/Hypotenuse

### The Cosine Function

The cosine of an angle is the ratio of the adjacent side's length to the hypotenuse's length.

### Tan Function

The tangent function is the length ratio of the opposite side to the adjacent side. It should be noted that the tan can also be expressed as a ratio of sine and cos.

Tan a = Opposite side/Adjacent side

Tan can also be expressed in terms of sine and cosine as:

Sin a/cos a = Tan a

### Functions Of Secant, Cosecant, And Cotangent

The three additional functions derived from the primary functions sine, cos, and tan are secant, cosecant (csc), and cotangent. Cosecant (csc), secant (sec), and cotangent (cot) are the reciprocals of sine, cos, and tan, respectively. Each of these functions has the following formula:

Sec a = 1/(cos a) = Hypotenuse/Adjacent

Cosec a = 1/(sin a) = Hypotenuse/Opposite

cot a = 1/(tan a) = Adjacent/Opposite

Mathematics is a subject with a high score. If a student has strong concepts in Math, he can easily score high marks. Math is also a subject that necessitates daily practice. Calculus, vectors, 3D, and other topics are important for the exam. Students solve various sample papers and class 12 previous year question papers to become acquainted with the types of questions asked in the exam and their difficulty level.

All of the CBSE Class 12 Maths Revision Notes can be found here. In this section, we will look more closely at Chapter 2, which is titled Inverse Trigonometric Functions. Students are introduced to the fundamental concepts of trigonometric functions and their inverses in this chapter. The goal is for a student to learn and become proficient in basic trigonometry concepts such as inverse circular functions. Students who learn these concepts will also learn about other important concepts such as the domain and range of trigonometric functions.

Students must practice several questions from each chapter to be able to answer any question on the board exam. Having CBSE Class 12 Maths Notes handy during preparation allows you to easily revise various topics. As a result, CBSE class 12 maths notes are provided here to assist students in better preparing for the exam.

## FAQs on RD Sharma Class 12 Solutions Chapter 4 - Inverse Trigonometric Functions (Ex 4.1) Exercise 4.1

1. Why should I look into RD Sharma Solutions for Class 12 Maths Chapter 4?

The following are some of the reasons why students should use RD Sharma Solutions for Class 12 Maths Chapter 4:

The CBSE board recommends that students use RD Sharma textbooks regularly because they are one of the best study sources for exams.

RD Sharma Solutions is a valuable resource for obtaining high exam scores because the answers to each question are explained in a step-by-step manner.

2. Is RD Sharma Solutions for Class 12 Maths Chapter 4 adequate for exam preparation?

Yes, RD Sharma Solutions for Class 12 Maths Chapter 4 prepared by expert teachers help students understand fundamental concepts and strengthen their foundation in fundamental topics. The solutions are explained in a simple language so that students clear their doubts fastly which arise while solving textbook problems. The main purpose of these solutions is to improve the skills which are essential to score high marks in exams. Students learn the fundamentals of trigonometric functions and their inverses. The goal is for a student to learn and become proficient in basic trigonometry concepts such as inverse circular functions. Students who learn these concepts will also learn about other important concepts such as the domain and range of trigonometric functions.

3. How can we do well in RD Sharma Solutions for Class 12 Maths Chapter 4?

RD Sharma Solutions for Class 12 Maths Chapter 4 provides in-depth knowledge of concepts because the answers are well structured by Vedantu experts based on the intelligence quotient of the student. Every minor detail is explained concisely, allowing students to grasp the various methods for solving difficult problems more accurately. This also assists students in completing their assignments on time and with ease. Regular practice of Chapter 4 Inverse Trigonometric Functions builds confidence in the ability to solve complex problems efficiently. There are fourteen exercises in this chapter. Let us take a look at some of the key concepts covered in this chapter.