RD Sharma Class 12 Maths Solutions Chapter 4 - Inverse Trigonometric Functions

RD Sharma Class 12 Maths Solutions Inverse Trigonometry

Inverse trigonometry is one of the important chapters for Class 12 students because in this chapter we find inverses of 6 fundamental trigonometric functions, along with that we use these inverse trigonometric properties to obtain an angle from any of the trigonometric ratios. In engineering, navigation, physics, and geometry, inverse trigonometric functions are commonly used. 

We have provided step by step solutions for all exercise questions given in the pdf of Class 12 RD Sharma Chapter 4 - Inverse Trigonometric Functions. Have a look at Exercise 4.1

Some of the Important Concepts of Inverse Trigonometry Discussed in This Chapter Are as Follows

• Introduction and recall the basic concepts of trigonometry

• Finding the inverse of the sine function, cosine function, tangent function, cotangent function, secant function, and cosecant function.

• Properties of inverse trigonometric functions which gives the relationship between different inverse trigonometric functions.

Tips on How to Prepare for Exams Using Inverse Trigonometric Functions Class 12 RD Sharma

Vedantu provides top-notch content on inverse trigonometry questions as per CBSE exam pattern and weightage of the marks. Students can follow these tips when going through RD Sharma Class 12 Inverse Trigonometry Solutions.

• First, brush up on the basics of trigonometric functions before finding the inverse of those.

• Read the question carefully before answering. When solving RD Sharma questions students are advised not to look at the solutions directly. First, solve the solutions on your own and later compare with RD Sharma Class 12 Maths Solutions Inverse Trigonometry. Later students can compare their solutions with the RD Sharma PDF notes. 

• Since Vedantu provides a step-by-step approach to solutions, students can easily prepare without missing any steps. This also makes students have a grasp of all intermediate steps used while solving the problems.

• For more subject knowledge on the topic, students can solve the extra practice and exercise problems to ace their exams.

For the preparation of your Maths board exams, your greatest study partner will be RD Sharma Class 12 Maths Solutions Chapter 4: Inverse Trigonometric Functions. You'll learn about the inverse of the sine function, cosine, as well as other trigonometric functions like tan, cot, and cosec in this chapter of RD Sharma Solutions. In addition, the properties of the inverse of trigonometric functions are discussed in this chapter.

This chapter contains 14 exercises and almost 300 questions to practise. Hence, RD Sharma Class 12 Maths book is an excellent instrument for completely practising math concepts because it has a wide range of questions. There are also past year questions from the CBSE board exam for class 12 in this chapter. As a result, you must practise all of the questions in order to prepare for the board exams.

In Class 12 Maths Chapter 4, you will study that if a= f(a) and b= g(b) are two functions so that f (g(a)) = b and g (f(b)) = a, then f and g are seen to be inverse of each other, i.e. g = f^-1.

When a function is bijective, there exists an inverse of it. When the domain of trigonometric functions is constrained, the functions become bijective, and the inverse of trigonometric functions is always defined inside the constrained domain. The symbol 'f-1' is used to represent the inverse of a function.

The inverses of many trigonometric functions, such as sine^-1, cos^-1, tan^-1, cosec^-1, sec^-1, and cot^-1, will be discussed later in the chapter. You'll also learn about these functions' domain and range, as well as several key properties that can assist you in solving inverse trigonometric function problems.

Inverse functions can be used to calculate the angle from any trigonometric ratio. All of these ratios have applications in a variety of fields, including engineering, geometry, and physics.

According to the CBSE exam structure,  Vedantu provides high-level content on inverse trigonometry questions. We primarily focus on providing solutions that are appropriate for students' comprehending skills. To make this feasible, our faculty has offered RD Sharma Solutions exercise-by-exercise solutions for each chapter. When studying RD Sharma Class 12 Inverse Trigonometry Solutions, students should keep these tips and tricks in mind. 

• Before understanding the inverse of such functions, brush up on the fundamentals of trigonometric functions. 

• Students are recommended not to look at the solutions immediately when doing RD Sharma problems. Before solving, thoroughly read the question.  

• Solve the problems independently first, then match them to the RD Sharma Class 12 Maths Solutions Inverse Trigonometry. 

Students can effortlessly prepare without missing any steps because Vedantu provides a step-by-step method to all the solutions.  This also ensures that students understand all intermediate processes required to solve the problem. Students can take the extra practice and exercise problems to gain more subject knowledge on the concepts to perform outstandingly in the exam.

Let's take a closer look at some of the key concepts covered in this chapter:

• Definition and meaning of inverse trigonometric functions

• Inverse of sine(sin) function

• Inverse of cosine(cos) function

• Inverse of tangent(tan) function

• Inverse of secant(sec) function

• Inverse of cosecant(cosec) function

• Inverse of cotangent(cot) function

• Various properties of inverse trigonometric functions

Conclusion

Students will be more confident when studying through RD Sharma Class 12 Inverse Trigonometry Solutions. The solutions to every problem are designed carefully in a step-by-step manner so that students feel that they have covered all there bases on inverse trigonometry before sitting for their exams. Students can download free PDF available on Vedantu platform.