**ISBN:**9788131773178**Authors:**Sanjay Mishra

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**Author:** Sanjay Mishra

**Language:** English

**Length (Pages):** 384 Pages

**Publisher: **Pearson

**Publication Year** 2012

**Edition:**1st Edition

**Exam:**CAT

**ISBN:** 9788131773178

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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