## Details

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.

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

Worked-Out Problems

Exercises

Index

Students preparing for Engineering entrance, test prep institutes

Dr. G.S.N. Murti is an eminent mathematician, accomplished author and a dedicated teacher. He has taught Mathematics at degree level for 27 years before moving onto coach prospective JEE (Main & Advanced) candidates. Over the last 25 years, his name has become synonymous with the best quality JEE (Main & Advanced) coaching in Mathematics. In addition to being a great teacher, Dr. Murti is also considered a master trainer and mentor by a huge community of Mathematics teachers who prepare students for engineering entrance examinations.

Dr. U.M. Swamy is an illustrious Mathematician with 40 years of teaching and research experience who served at various levels in the Department of Mathematics at Andhra University and superannuated as Chairman of the Faculty of Science in 2006 from the University. He is acclaimed as a distinguished teacher in the teaching community. Government of Andhra Pradesh felicitated him with the “Best Teacher Award” in 2006.