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

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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