Mathematics is often a reasonably challenging subject for college kids. repeatedly students find it difficult to unravel the sums given within the maths book. They find it tough to recollect the formulas and use them within the place. Most of the scholars find trigonometric functions to be a difficult chapter to hide. they’re confused with the trigonometric identities and therefore the functions involved in them. The RS Aggarwal Class 12 maths chapter 4 deals with inverse trigonometric functions and their concepts. the answer designed by Utopper provides introductory notes, and formulas to be utilized in the chapter. it’s solved examples to form it easy for the scholars to know the chapter. The solutions will teach the scholars the varied concepts of inverse trigonometry and help them find angles of a triangle supported trigonometric ratios.
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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.
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.
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