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The Class 12 Maths RS Aggarwal, Chapter 4 solutions will act as a supreme guide for the scholars in examination preparation. the answer aims to supply the foremost reliable and trustable information set to the scholars on inverse trigonometry. regard to the answer PDF will make the training procedure easy for the scholars, and secure better grades. The RS Aggarwal Class 12 Maths Chapter 4 solutions will assist you to understand the inverse trigonometry concept, formulas, and ways to unravel the exercise sums. Experts prepare the answer PDF at Utopper, which makes it error-free and reliable. The PDF of the solutions is available on our website, and you’ll have access thereto for free of charge.

**Let us discuss more on Inverse Trigonometry:**

**Inverse Trigonometry**

Inverse Trigonometry is that the inverse of the essential trigonometric functions like sine, cosine, tangent, cotangent, etc. These functions also are called Arc functions or Antitrigonometric functions. These functions are wont to find the angles using the trigonometric ratios. there’s extensive use of those functions within the field of engineering, geometry, and navigation.

The inverse trigonometric functions also are called arc functions as they produce the arc length for a specific value of trigonometric functions. the first usage of inverse trigonometry is to perform the other operation of basic trigonometric functions.

The solutions cover the essential introduction of inverse trigonometric functions. It provides the formula to be utilized in the chapter. There are basically six inverse trigonometric formulas and that they are:

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

The solutions of chapter 4 also explain the inverse trigonometric functions using graphs, and every one of the six functions features a different representation on graphs. there’s a simple step-by-step explanation of every sum and graph within the solutions which can make the preparations convenient for the scholars. Chapter 4 of sophistication 12 features a total of 4 exercises within the chapter. the primary two exercises have supported the sums of inverse trigonometric functions. The third exercise has sums that involve proving the functions and therefore the last exercise has sums supported graphs of the functions. aside from these four exercises, there are 57 multiple choice questions that supported the chapter. And for the betterment of the scholar, we’ve provided solutions to every one of those questions. More importantly, the solutions are prepared as per the newest guidelines of NCERT and therefore the CBSE board.

- The students of sophistication 12 must ask their textbooks to urge a quick overview of the chapter.
- They should attempt to understand the formals and ideas of the chapter.
- They should practice each numerical until they need to understand it properly, and will never memorize the numerical.
- They should properly study and follow the syllabus and will understand the sort and pattern of questions that may are available in the examination.

- The RS Aggarwal Class 12 Solutions, inverse trigonometry is one among the best-recommended study materials that one can have. Here we’ve listed down the advantages of the solution:
- The solution PDF available on Utopper website aims at providing the scholars with the foremost reliable and accurate information.
- The solutions will help the scholars to know the formulas and therefore the concept of the chapter, and it’ll also help them to possess a correct grip on the chapter.

**Lastly, the answer PDF is ready by our expert teachers, which makes it error-free and of higher quality.**

**Question 1.** what’s Inverse Trigonometric Function?

**Answer.** Inverse Trigonometry is that the inverse of the essential trigonometric functions like sine, cosine, tangent, cotangent, etc. These functions are wont to find the angles using the trigonometric ratios. These functions are extensively utilized in the sector of physics and navigation.

**Question 2.** What are the Six Inverse Trigonometric Functions?

Answer. The six inverse trigonometric identities or functions are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used to obtain an angle from any of the angle’s trigonometric ratios.

**Question 3.** How are the RS Aggarwal Solutions for sophistication 12, Chapter 4 Helpful?

**Answer.** The RS Aggarwal solution is solely designed to supply an entire and detailed explanation of the chapter to the scholars. the answer possesses a solution to every question given within the exercise in an orderly manner. regard to the solutions can provide the scholars with a competitive edge and help them secure better grades.

Chapter-3 Binary Operations Solutions

Chapter-4 Inverse Trigonometric Functions Solutions

Chapter-6 Determinants Solutions

Chapter-7 Adjoint and Inverse of a Matrix Solutions

Chapter-8 System of Linear Equations Solutions

Chapter-9 Continuity and Differentiability Solutions

Chapter-10 Differentiation Solutions

Chapter-11 Applications of Derivatives Solutions

Chapter-12 Indefinite Integral Solutions

Chapter-13 Method of Integration Solutions

Chapter-14 Some Special Integrals Solutions

Chapter-15 Integration Using Partial Fractions Solutions

Chapter-16 Definite Integrals Solutions

Chapter-17 Area of Bounded Regions Solutions

Chapter-18 Differential Equations and Their Formation Solutions

Chapter-19 Differential Equations with Variable Separable Solutions

Chapter-20 Homogeneous Differential Equations Solutions

Chapter-21 Linear Differential Equations Solutions

Chapter-22 Vectors and Their Properties Solutions

Chapter-23 Scalar, or Dot, Product of Vectors Solutions

Chapter-24 Cross, or Vector, Product of Vectors Solutions

Chapter-25 Product of Three Vectors Solutions

Chapter-26 Fundamental Concepts of 3-Dimensional Geometry Solutions

Chapter-27 Straight Line in Space Solutions

Chapter-28 The Plane Solutions

Chapter-29 Probability Solutions

Chapter-30 Bayes’s Theorem and its Applications Solutions

Chapter-31 Probability Distribution Solutions

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