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Fundamentals of Mathematics: Trigonometry

Fundamentals of Mathematics: Trigonometry

          
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About the Book

Aspiring engineers have always wanted to secure admission in pioneering institutes such as the Indian Institute of Technology and the National Institute of Technology. Fundamentals of Mathematics, the complete mathematics collection, prepares students for such prestigious entrance examinations. This series is customized, class-tested and structure-driven with a conceptual approach to the subject. The authority, command and experience of the author, Sanjay Mishra, is reflected in the clear explanations of complex concepts and in the chapter-end exercises. Each volume of this series is meticulously planned in a unique student-friendly manner to make the learning process easier, more effective and enjoyable. Salient Features Strictly aligned with the prescribed syllabus. Written in a lucid manner to assist students to understand the concepts without the help of any guide. Provides the vast subject in a structured and useful manner so as to familiarize the candidates taking the current examinations with the current trends and types of multiple-choice questions asked. The multiple-choice questions have been arranged in following categories: Straight Objective Type Questions (Single Choice) Brainteasers Objective Type Questions (Single Choice) Multiple Correct Answer Type Questions (More than one choice) Linked-Comprehension Type Questions Assertion and Reasoning Questions Matrix-Match Type Questions and the IIT JEE Corner About the Author Sanjay Mishra a civil engineering graduate from IIT Varanasi, has earned a reputation as an excellent mentor for IIT-JEE aspirants. He teaches at MIIT (EDU) Services Private Limited, Chandigarh, and has trained around 10,000 students for IIT-JEE and other engineering entrance examinations in the past 12 years. Table of Contents Preface Acknowledgements Chapter 1: Trigonometric Ratios and Identities Introduction Basic Concepts Quadrants and its Sign Conventions Sign Convention of Angle Periodicity and Periodic Functions Even Function Odd Function Trigonometrical Ratios and Their Properties Trigonometric Identities Trigonometric Ratios of Some Specific Angles Inter Conversion of Trigonometric Ratios Formulae on Trigonometric Ratios of Compound Angles Conversion Formulae (Sum into Product) Trigonometric Ratios of the Sum of Three or More Angles Conditional Identities Application of Trigonometry for Eliminating Variables Maximum and Minimum Values of Trigonometrical Functions Application of Theory of Equation Application Using Transformation of Equations Proving Trigonometric Inequalities Summation of Series Containing Sine and Cosine of Angles Forming an A.P. Cosine of Angle Forming an AP Application of Complex Numbers for Sum of Trigonometric Series Series Containing Product of Cosine of the Angles Forming a GP Multiple Choice Questions Objective Solved Examples Subjective Solved Examples Tutorial Exercises Answer Key Chapter 2: Trigonometric Equations Introduction Trigonometric Equations Equivalent Equations Important Points to Remember Sources of Extraneous Root and Loss of Root Trigonometric Equation of Some Special Forms Solving Simultaneous Equations Problems Based on Extreme Values of sin x and cos x Transcendental Equations Graphical Solutions of Equations Solving Inequalities Multiple Choice Questions Subjective Solved Examples Objective Solved Examples Tutorial Exercises Answer Key Chapter 3: Properties and Solution of Triangle Introduction Properties of Triangle Solution of Triangle Sine Formula Cosine Formula Projection Formula Napiers Analogy (Tangent Rule) Area of Triangle ABC Solution of Triangle Geometrical Discussion Centroid of Triangle and Length of Median In circle of a Triangle Scribed Circles Orthocentre, Pedal Triangle and its Properties Cir-cum circle of Pedal Triangle (Nine Point Circle) The Ex-central Triangle The Centroid Lies on the Line Joining the Circumcentre to the Orthocentre Multiple Choice Questions Objective Solved Examples Subjective Solved Examples Tutorial Exercises Answer Key Chapter 4: Inverse Trigonometric Functions Introduction Inverse Function Inverse Trigonometric Function Graphs of Inverse Circular Functions and Their Domain and Range Compositions of Trigonometric Functions and Their Inverse Functions Inverse Circular Functions of Their Corresponding Trigonometric Functions on Principal Domain Inverse Circular Functions of Their Corresponding Trigonometric Functions on Domain Inverse Trigonometric Functions of Negative Inputs Inverse Trigonometric Functions of Reciprocal Inputs Inter Conversion of Inverse Trigonometric Functions Three Important Identities of Inverse Trigonometric Functions Multiples of Inverse Trigonometric Functions Sum and Difference of Inverse Trigonometric Functions Multiple Choice Questions Objective Solved Examples Subjective Solved Examples Tutorial Exercises Answer Key


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Product Details
  • ISBN-13: 9788131773178
  • Binding: Papaerback
  • Language: English
  • ISBN-10: 8131773175
  • Edition: 1st Edition

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