Description
McGraw Hill Trigonometry Booster With Problems & Solutions For Jee Main & Advanced 2Nd Edition by Makshud, Rejaul
Trigonometry Booster for JEE Main and Advanced has been conceptualised and produced for aspirants of various engineering entrance examinations. It renders complex concepts and problems of Trigonometry easy for the students and provides them as many opportunities for guided practice as needed. It covers all topics, and is imbued with a strong conceptual approach, with relevant theory being followed by plenty of solved exercise questions, graded LODs and past years’ papers. The various levels of difficulties have numerous MCQs, integer type questions, comprehensive link passage questions and matrix match questions for ample practice and thorough understanding. Step-by-step guidance in problem solving and alternative methods of approaching a problem are included to boost aspirants’ analytical and mathematical skills and are intended to teach them independent problem-solving techniques based upon the solutions.
SALIENT FEATURES
• Covers the latest JEE (Main & Advanced) syllabus as per the JEE Pattern
• Exercise questions graded into Level I, Level II, Level III and Level IV
• Level I questions based on Fundamentals
• Level II based on Mixed Problems
• Level III consist of Problems for JEE Advanced
• Level IV comprise of Tougher Problem
• Chapter-wise previous years’ questions with complete solution
• Solutions to questions have been provided in a step-by-step manner and alternate methods of solution have also been used wherever applicable
TABLE OF CONTENTS
Preface vii
• Chapter 1 The Ratios and Identities 1.1–1.87
• Introduction 1.1
• Measurement of Angles 1.1
• Trigonometrical Ratios 1.2
• Limits of the values of Trigonometrical Functions 1.2
• Sign of Trigonometric Ratios 1.2
• T-ratios of the Angle (–q ), in Terms of q, for All Values of q 1.3
• T-ratios of the Different Angles in Terms of q, for All Values of q 1.3
• Graph of Trigonometric Functions 1.3
• T-ratios of Compound Angles 1.4
• Some Important Deductions 1.4
• Transformation Formulae 1.5
• Multiple Angles 1.6
• Some Important Deductions 1.6
• The Maximum and Minimum Values of 1.7
• Sub–Multiple Angles 1.8
• Conditional Trigonometrical Identities 1.11
• Trigonometrical Series 1.12
Exercises 1.12
Answers 1.30
Hints and Solutions 1.30
• Chapter 2 Trigonometric Equations 2.1–2.53
• Definition 2.1
• Solution of a Trigonometric Equation 2.1
• General solution of Trigonometric Equations 2.1
• A Trigonometric Equation is of the Form 2.1
• Principal Value 2.1
• Method to Find Out the Principal Value 2.2
• Solutions in Case of Two Equations are Given 2.2
• Some Important Remarks to Keep in Mind while Solving a Trigonometric Equation 2.2
• Types of Trigonometric Equations: 2.2
Exercises 2.3
Answers 2.17
Hints and Solutions 2.18
• Chapter 3 Trigonometric In-Equation 3.1–3.15
• Trigonometric Inequalities 3.1
Exercises 3.2
Answers 3.4
Hints and Solutions 3.5
• Chapter 4 Inverse Trigonometric Functions 4.1–4.84
• Inverse Function 4.1
• Introduction to Inverse Function 4.1
• Inverse Trigonometric Functions 4.1
• Graphs of Inverse Trigonometric Functions 4.2
• Constant Property 4.4
• Conversion of Inverse Trigonometric Functions 4.4
• Composition of Trigonometric Functions and its Inverse 4.5
• Composition of Inverse Trigonometric Functions and Trigonometric Functions 4.5
• Sum of Angles 4.6
• Multiple Angles 4.7
• More Multiple Angles 4.7
Exercises 4.8
Answers 4.24
Hints and Solutions 4.25
• Chapter 5 Properties of Triangles 5.1–5.92
• Properties of Triangles 5.1
• Introduction 5.1
• Sine Rule 5.1
• Cosine Rule 5.1
• Projection Formulae 5.1
• Napier’s Analogy (Law of Tangents) 5.1
• Half-Angled Formulae 5.1
• Area of Triangle 5.2
• m-n Theorem 5.2
• Radii of Circle Connected with a Triangle 5.3
• Inscribed Circle and its Radius 5.3
• Escribed Circle of a Triangle and Their Radii 5.3
• Regular Polygon 5.4
• Orthocentre and Pedal Triangle of Any Triangle 5.4
• Distance between the Circumcentre and Orthocentre 5.5
• Distance Between the Circumcentre and the Incentre 5.6
• Distance between the Circumcentre and Centroid 5.6
• Distance Between the Incentre and Orthocentre 5.6
• Excentral Triangle 5.7
• Quadrilateral 5.9
Exercises 5.12
Answers 5.30
Hints and Solutions 5.30