Wiley s Mathematics for IIT JEE Main and AdvancedTrigonometry Vector Algebra Probability Vol 2 Maestro Series Dr. G S N Murti Dr. U M Swamy

Cover
......Page 1
Half Title......Page 3
Title Page......Page 5
Copyright......Page 6
Dedication......Page 7
Acknowledgments......Page 9
Features and Benefits at a Glance......Page 10
Note to the Students......Page 11
A. PEDAGOGY......Page 12
B. WORKED-OUT PROBLEMS AND ASSESSMENT – AS PER IIT-JEE PATTERN......Page 15
BOOK FEEDBACK FORM......Page 21
Contents......Page 23
1 Trigonometric Ratios and Transformations......Page 25
1.1 Angles and Their Measures......Page 26
1.2 Trigonometric Ratios......Page 31
1.3 Periodicity and Variance......Page 43
1.4 Trigonometric Ratios of Compound Angles......Page 54
1.5 Trigonometric Ratios of Multiple and Submultiple Angles......Page 60
1.6 Sum and Product Transformations......Page 71
Worked-Out Problems......Page 75
Summary......Page 111
Exercises......Page 113
Answers......Page 121
2 Inverse Trigonometric Functions......Page 123
2.1 Domains and Ranges of Inverse Trigonometric Functions......Page 124
2.2 Properties of Inverse Trigonometric Functions......Page 126
Worked-Out Problems......Page 136
Summary......Page 156
Exercises......Page 159
Answers......Page 163
3 Trigonometric Equations......Page 165
3.1 The Least Positive Angles with a Given Trigonometric Ratio......Page 166
3.2 General Solution of Equations of the Form sinx = a......Page 168
3.3 Solutions of Simple Trigonometric Equations......Page 172
Worked-Out Problems......Page 174
Summary......Page 201
Exercises......Page 202
Answers......Page 208
4 Properties of Triangles......Page 209
4.1 Relations Between the Sides and the Trigonometric Ratios of Angles of a Triangle......Page 210
4.2 Solution of Triangles......Page 225
4.3 Properties of a Triangle......Page 233
Worked-Out Problems......Page 256
Summary......Page 311
Exercises......Page 313
Answers......Page 319
5 Addition and Scalar Multiplication of Vectors......Page 321
5.1 Definition and Classification of Vectors......Page 322
5.2 Addition of Vectors......Page 324
5.3 Multiplication of a Vector by a Scalar......Page 333
5.4 The Division Formula......Page 336
5.5 Components of a Vector......Page 345
5.6 Vector Equation of a Line and a Plane......Page 357
Worked-Out Problems......Page 364
Summary......Page 381
Exercises......Page 386
Answers......Page 388
6 Multiplication of Vectors......Page 389
6.1 Scalar or Dot Product......Page 390
6.2 Vector Equations of a Plane and a Sphere......Page 406
6.3 Vector or Cross Product......Page 411
6.4 Vector Areas......Page 422
6.5 Scalar Triple Product......Page 428
6.6 Vector Triple Product......Page 439
Worked-Out Problems......Page 443
Summary......Page 499
Exercises......Page 504
Answers......Page 512
7 Probability......Page 513
7.1 Random Experiments and Events......Page 514
7.2 Classical Definition of Probability......Page 515
7.3 Axiomatic Approach to Probability......Page 518
7.4 Independent and Dependent Events......Page 523
7.5 Random Variables and Probability Distributions......Page 528
7.6 Theoretical Discrete Distribution......Page 532
Worked-Out Problems......Page 535
Summary......Page 580
Exercises......Page 583
Answers......Page 591
8 Inequalities......Page 593
8.1 Introduction......Page 594
Worked-Out Problems......Page 595
Exercises......Page 614
Index......Page 617
Backcover
......Page 620