Right Triangle Formulas

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

The side opposite the right angle is called the hypotenuse. The sides adjacent to the right angle are called legs (or catheti, singular: cathetus). Side a may be identified as the side adjacent to angle B and opposed to (or opposite) angle A, while side b is the side adjacent to angle A and opposed to angle B.

If the lengths of all three sides of a right triangle are integers, the triangle is said to be a Pythagorean triangle and its side lengths are collectively known as a Pythagorean triple.

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Objective RD Sharma for IIT JEE

About the Book: R.D Sharma is very famous among IIT-JEE aspirants.Every student refers it for 10+2 level exams like: · IIT-JEE · AIEEE · Medical · Olympiad and other exams Expert Review: Lines of Appreciations (Why should I buy this book?) This book is the one of the best books in Mathematics for beginners. It includes the exercises covering the entire syllabus of Mathematics pertaining to IIT JEE, AIEEE and other state level engineering examination preparation. Although all the topics are covered very well but the topics of Algebra have an edge over others. Permutations and Combinations, Probability, Quadratic equations and Determinants are worth mentioning. It's a one stop book for beginners. It includes illustrative solved examples which help in explaining the concepts better. Room for improvements (Why should I keep away from this book?) Though the book has a good collection of problems but it cannot be said to be s

Differentiation and Integration of mod x (|x|)

Differentiation and Integration of any function is vice versa. Now see integration and Differentiation of |x|. Integration of mod x Differentiation of mod x Here differentiation of mod x is proved by 1st principle. YouTube Link:

Higher Engineering Mathematics by B.S. Grewal

Product details Reading level: 16+ years Paperback: 1238 pages Publisher: Khanna Publishers; Forty Fourth edition (1965) Language: English ISBN-10: 9788193328491 ISBN-13: 978-8193328491 ASIN: 8193328493 Package Dimensions: 27.8 x 21.6 x 5.2 cm Buy: Higher Engineering Mathematics Paperback – 1965 by B.S. Grewal (Author) Pdf Download: https://drive.google.com/file/d/0B8Nl3U5dzHu0X3gxbzdXcEk4Qk0/view?usp=sharing

sinθ, cosθ, tanθ: Easy way to remember their values for θ = 0°,30°,45°,60° & 90°

Why 1729 number is so special?

1729 is the natural number following 1728 and preceding 1730. It is known as the Hardy-Ramanujan number, after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan in hospital. He related their conversation: I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways." The two different ways are:1729 = 13 + 123 = 93 + 103 The quotation is sometimes expressed using the term "positive cubes", since allowing negative perfect cubes (the cube of a negative integer) gives the smallest solution as 91 (which is a divisor of 1729):91 = 63 + (−5)3 = 43 + 33 Numbers that are the smallest number that can be expressed as

Algebraic Product Formulas

National Mathematics Day (22 December)

In 2012, the Indian government declared 22 December to be National Mathematics Day. This was announced by Prime Minister Manmohan Singh on 26 February 2012 at Madras University, during the inaugural ceremony of the celebrations to mark the 125th anniversary of the birth of the Indian mathematical genius Srinivasan Ramanujan (22 Dec 1887- 26 Apr 1920). On this occasion Singh also announced that 2012 would be celebrated as the National Mathematics Year. Since then, India's National Mathematics Day is celebrated every 22 December with numerous educational events held at schools and universities throughout the country. In 2017, the day's significance was enhanced by the opening of the Ramanujan Math Park in Kuppam, in Chittoor, Andhra Pradesh. Srinivasa Ramanujan ( 22 December 1887 – 26 April 1920) was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contri

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Functions and Their Graphs

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Logarithm and its Applications An approach to learn logarithm and its implementation in Mathematics

"Advanced Engineering Mathematics” is written for the students of all engineering disciplines. Topics such as Partial Differentiation, Differential Equations, Complex Numbers, Statistics, Probability, Fuzzy Sets and Linear Programming which are an important part of all major universities have been well-explained. Filled with examples and in-text exercises, the book successfully helps the student to practice and retain the understanding of otherwise difficult concepts. Key Features: • Two New Chapters -Transformation and Taylor’s and Laurent’s Series have been included • Every topic relating to the subject has been provided with ample coverage. • Close to 1400 solved examples (including previous year questions of different universities) on various topics have been incorporated for the better understanding and to make familiar with the standard and trend of questions set in the examinations. • More than 260 exercise sets and book-end solved question papers provide apt practice

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