RS Aggarwal Class 12 Solutions Chapter-4 Inverse Trigonometric Functions

RS Aggarwal Solutions

RS Aggarwal Class 12 Solutions Chapter-4 Inverse Trigonometric Functions

Class 12 RS Aggarwal Chapter-4 Inverse Trigonometric Functions Solutions - Free PDF Download

Mathematics can be a pretty challenging subject for students. Many times students find it difficult to solve the sums given in the Maths book. They find it tough to remember the formulas and use them in place. Most of the students find trigonometric functions to be a tricky chapter to cover. They are confused with the trigonometric identities and the functions involved in them. The RS Aggarwal Class 12 Maths Chapter 4 deals with inverse trigonometric functions and their concepts. The solution designed by Vedantu provides introductory notes, and formulas to be used in the chapter. It has solved examples to make it easy for the students to understand the chapter. The solutions will teach the students the various concepts of inverse trigonometry and help them find angles of a triangle based on trigonometric ratios.

RS Aggarwal Class 12 Solutions Inverse Trigonometry - Free PDF Download

The Class 12 Maths RS Aggarwal, Chapter 4 solutions will act as a supreme guide for the students in examinations preparation. The solution aims to provide the most reliable and trustable information set to the students on inverse trigonometry. Reference to the solution PDF will make the learning procedure easy for the students, and secure better grades. The RS Aggarwal Class 12 Maths Chapter 4 solutions will help you understand the inverse trigonometry concept, formulas, and ways to solve the exercise sums. Experts prepare the solution PDF at Vedantu, which makes it error-free and reliable. The PDF of the solutions are available on our website, and you can have access to it for free.

Let us discuss more on Inverse Trigonometry:

Inverse Trigonometry

Inverse Trigonometry is the inverse of the essential trigonometric functions such as sine, cosine, tangent, cotangent, etc. These functions are also called Arc functions or Anti Trigonometric functions. These functions are used to find the angles using the trigonometric ratios. There is extensive use of these functions in the field of engineering, geometry, and navigation.

The inverse trigonometric functions are also called arc functions as they produce the arc length for a particular value of trigonometric functions. The primary usage of inverse trigonometry is to perform the opposite operation of basic trigonometric functions. The solutions cover the basic introduction of inverse trigonometric functions. It provides the formula to be used in the chapter. There are six inverse trigonometric formulas and they are:

Arcsine - sin^-1 (-x) = -sin^-1 (x), (x) ∈
−1,1
−1,1
Arccosine - cos^-1 (-x) = π - cos^-1 (x), (x) ∈
−1,1
−1,1
Arctangent - tan^-1 (-x) = -tan^-1 (x), (x) ∈ R
Arccotangent - cot^-1 (-x) = π - cot^-1 (x), (x) ∈ R
Arcsecant - sec^-1 (-x) = π - sec^-1 (x), |x| ≥ 1
Arccosecant - cosec^-1 (-x) = -cosec^-1 (x), |x| ≥ 1

The solutions of Chapter 4 also explain the inverse trigonometric functions using graphs, and each of the six functions has a different representation on graphs. There is an easy step-by-step explanation of each sum and graph in the solutions which will make the preparations convenient for the students. Chapter 4 of Class 12 has a total of four exercises in the chapter. The first two exercises are based on the sums of inverse trigonometric functions. The third exercise has sums that involve proving the functions and the last exercise has sums based on graphs of the functions. Apart from these four exercises, there are 57 multiple choice questions based on the chapter. And for the betterment of the student, we have provided solutions to each of these questions. More importantly, the solutions are prepared as per the latest guidelines of NCERT and the CBSE board.

Preparation Tips For RS Aggarwal Class 12 Maths Inverse Trigonometric Functions

The students of class 12 must refer to their textbooks to get a brief overview of the chapter.
They should try to understand the formals and concept of the chapter.
They should practise each numerical until they have understood it properly, and should never memorise the numerical.
They should properly study and follow the syllabus and should understand the type and pattern of questions that might come in the examination.

Benefits of Maths RS Aggarwal Class 12 Solutions Chapter 4

The RS Aggarwal Class 12 Solutions, inverse trigonometry is one of the best-recommended study materials that one can have. Here we have listed down the benefits of the solution:

The solution PDF available on Vedantu website aims at providing the students with the most reliable and accurate information.
The solutions will help the students to understand the formulas and the concept of the chapter, and it will also help them to have a proper grip on the chapter.
Lastly, The solution PDF is prepared by our expert teachers, which makes it error-free and of better quality.

Conclusion

The RS Aggarwal class 12 solution is simple and easy to understand, and the students can refer to the solutions while preparing for examinations. The solutions will provide them with a proper step-by-step explanation of each sum given in the exercise. The solutions make it easy for the students to understand the concepts of inverse trigonometry functions.

FAQs on RS Aggarwal Class 12 Solutions Chapter-4 Inverse Trigonometric Functions

1. What is an inverse trigonometric function?

Inverse Trigonometry is the inverse of the basic trigonometric functions such as sine, cosine, tangent, cotangent, etc. They are also known as the arcus functions, anti trigonometric functions, or cyclometric functions. Inverse trigonometric functions for a given value of trigonometric functions, produce the length of arc needed to obtain that particular value. These functions are used to find the angles using the trigonometric ratios. These functions are extensively used in the field of physics and navigation. The six important functions are used to find angle measures in the right triangle when two sides of the triangle measures are known.

2. What are the six inverse trigonometric functions?

The six inverse trigonometric identities or functions are Arcsine, Arccosine, Arctangent, Arccotangent, Arcsecant, and Arccosecant. These functions have important applications in the field of engineering, physics, geometry etc. The basic inverse trigonometric formulas are as follows:

Arcsine: sin⁻¹(-x) = -sin⁻¹(x), x ∈ (-1, 1)
Arccosine: cos⁻¹(-x) = π -cos⁻¹(x), x ∈ (-1, 1)
Arctangent: tan⁻¹(-x) = -tan⁻¹(x), x ∈ R
Arccotangent: cot⁻¹(-x) = π – cot⁻¹(x), x ∈ R
Arcsecant: sec⁻¹(-x) = π -sec⁻¹(x), |x| ≥ 1
Arccosecant: cosec⁻¹(-x) = -cosec⁻¹(x), |x| ≥ 1

3. How are the RS Aggarwal Solutions for Class 12, Chapter 4 helpful?

The RS Aggarwal solution is solely designed to provide a complete and detailed explanation of the chapter to the students. The solution has an answer to each question given in the exercise in an orderly manner. Reference to the solutions can provide the students with a competitive edge and help them secure better grades. By referring to the solution, students will get an idea of how a particular type of question needs to be answered in a step-by-step format. If the students have any confusion regarding a concept, the solved questions will clear their doubts.

4. How can I download Class 12 solutions for RS Aggrawal from the Vedantu website?

To download Class 12 solutions of RS Aggarwal for Chapter 4 Trigonometric functions from the Vedantu website or the app, students need to access the website on any internet browser and then register. This allows students to avail the benefits of the free study materials provided by Vedantu to download and refer to at their convenience. After registering, students can look for RS Aggarwal solutions under ‘Solutions for Popular reference book’ and select Class 12. These solutions for Class 12 Mathematics are put together by experts with knowledge of the subject and help the students to prepare better for their exams.

5. How many exercises are there in Chapter 4 of Class 12 RS Aggrawal?

This chapter in RS Aggarwal for Class 12 is a lengthy one as compared to the chapters before it. Chapter 4 of Class 12 Mathematics, Inverse of Trigonometric Functions contains a total of 126 questions divided between 5 exercises that are aimed at making the students fully understand the concept of the chapter and also revise whatever they have learned in it. The initial exercises focus on teaching the students about the values of inverse trigonometric functions while later exercises focus on various new proofs and properties associated with inverse trigonometric functions.