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This book has been written by a pioneer teacher associated with JEE (Main & Advanced) coaching, Dr. G.S.N. Murti, along with Dr. U.M. Swamy who had an illustrious career as a renowned mathematician. The topics covered in this book - Trigonometry, Vector Algebra, and Probability - are of utmost importance to engineering students. An additional chapter on Inequalities has been included. The book has a two-fold advantage: (a) Conceptual strength provided by accurate, precise but sufficient coverage of topics; (b) solved and unsolved problems as per JEE (Main & Advanced) pattern for strengthening concepts. The main idea is to make students understand the theory behind to enable them to strategize a given problem and tactically solve it. Special Features · Eminent Authorship · Clear, Concise, and Inviting Writing Style, Tone and Layout · Optimum Balance of Theory and Applications · Excellent Pedagogy ü Theorems and Corollaries (with proofs) ü Solved Examples ü Examples ü Quick Look ü Try It Out ü Worked Out Problems ü Summary ü Exercises ü Answers · Worked-Out Problems and End-Of-Chapter Material as per JEE (Main & Advanced) Assessment Pattern ü Single Correct Choice Type ü Multiple Correct Choice Type ü Matrix-Match Type ü Comprehension-Type ü Assertion-Reasoning Type ü Integer Answer Type · 140+ Solved Examples · 490+ Unsolved Problems · 820+ Worked-out Problems Table of Content Trigonometric Ratios and Transformations · Angles and Their Measures · Trigonometric Ratios · Periodicity and Variance · Trigonometric Ratios of Compound Angles · Trigonometric Ratios of Multiple and Submultiple Angles · Sum and Product Transformations Worked-Out Problems Summary Exercises Answers Inverse Trigonometric Functions · Domains and Ranges of Inverse Trigonometric Functions · Properties of Inverse Trigonometric Functions Worked-Out Problems Summary Exercises Answers Trigonometric Equations · The Least Positive Angles with a Given Trigonometric Ratio · General Solution of Equations of the Form sin x= a · Solutions of Simple Trigonometric Equations Worked-Out Problems Summary Exercises Answers Properties of Triangles · Relations Between the Sides and the Trigonometric Ratios of Angles of a Triangle · Solution of Triangles · Properties of a Triangle Worked-Out Problems Summary Exercises Answers Addition and Scalar Multiplication of Vectors · Definition and Classification of Vectors · Addition of Vectors · Multiplication of a Vector by a Scalar · The Division Formula · Components of a Vector · Vector Equation of a Line and a Plane Worked-Out Problems Summary Exercises Answers Multiplication of Vectors · Scalar or Dot Product · Vector Equations of a Plane and a Sphere · Vector or Cross Product · Vector Areas · Scalar Triple Product · Vector Triple Product Worked-Out Problems Summary Exercises Answers Probability · Random Experiments and Events · Classical Definition of Probability · Axiomatic Approach to Probability · Independent and Dependent Events · Random Variables and Probability Distributions · Theoretical Discrete Distribution Worked-Out Problems Summary Exercises Answers Inequalities · Introduction Worked-Out Problems Exercises Index

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