Mathematics For Iit-Jee, Trigonometry Vector Algebra Probability, Vol 2

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This book has been written by a pioneer teacher associated with IIT-JEE 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 IIT-JEE 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. 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 Inverse Trigonometric Functions Domains and Ranges of Inverse Trigonometric Functions Properties of Inverse Trigonometric Functions 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 Properties of Triangles Relations Between the Sides and the Trigonometric Ratios of Angles of a Triangle Solution of Triangles Properties of a Triangle 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 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 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 Inequalities Introduction