Fundamentals of Mathematics - Trigonometry (English) 1st Edition by Sanjay Mishra

Fundamentals of Mathematics - Trigonometry (English) 1st Edition

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