Trigonometry - Hardcover

Hari Kishan

Hardcover

ISBN 10: 8126905603 ISBN 13: 9788126905607

Publisher: Atlantic Publishers & Distributors Pvt Ltd, 2005

Synopsis

1. Inverse Circular Functions 2. Complex Numbers 3. De-Moivre's Theorem 4. Deductions from De-Moivre's Theorem 5. Exponential Values of Sines and Cosines, Hyperbolic Functions 6. Inverse Circular and Hyperbolic Functions of Complex Quantities 7. Logarithms of Complex Quantities 8. Gregory's Series 9. Summation of Series 10. Infinite Products for Sine and Cosine 11. Trigonometrical Expansions

About this title

Review

Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving. P. Prerequisites P.1 Review of Real Numbers and Their Properties P.2 Solving Equations P.3 The Cartesian Plane and Graphs of Equations P.4 Linear Equations in Two Variables P.5 Functions P.6 Analyzing Graphs of Functions P.7 A Library of Functions P.8 Transformations of Functions P.9 Combinations of Functions: Composite Functions P.10 Inverse Functions 1. Trigonometry 1.1 Radian and Degree Measure 1.2 Trigonometric Functions: The Unit Circle 1.3 Right Triangle Trigonometry 1.4 Trigonometric Functions of Any Angle 1.5 Graphs of Sine and Cosine Functions 1.6 Graphs of Other Trigonometric Functions 1.7 Inverse Trigonometric Functions 1.8 Applications and Models 2. Analytic Trigonometry 2.1 Using Fundamental Identities 2.2 Verifying Trigonometric Identities 2.3 Solving Trigonometric Equations 2.4 Sum and Difference Formulas 2.5 Multiple-Angle and Product-to-Sum Formulas 3. Additional Topics in Trigonometry 3.1 Law of Sines 3.2 Law of Cosines 3.3 Vectors in the Plane 3.4 Vectors and Dot Products Cumulative Test: Chapters 1-3 4. Complex Numbers 4.1 Complex Numbers 4.2 Complex Solutions of Equations 4.3 Trigonometric Form of a Complex Number 4.4 DeMoivre's Theorem 5. Exponential and Logarithmic Functions 5.1 Exponential Functions and Their Graphs 5.2 Logarithmic Functions and Their Graphs 5.3 Properties of Logarithms 5.4 Exponential and Logarithmic Equations 5.5 Exponential and Logarithmic Models 6. Topics in Analytic Geometry 6.1 Lines 6.2 Introduction to Conics: Parabolas 6.3 Ellipses 6.4 Hyperbolas 6.5 Rotation of Conics 6.6 Parametric Equations 6.7 Polar Coordinates 6.8 Graphs of Polar Equations 6.9 Polar Equations of Conics Cumulative Test: Chapters 4-6 Appendix A: Concepts in Statistics (web) A.1 Representing Data A.2 Measures of Central Tendency and Dispersion A.3 Least Squares Regression

Synopsis

Primarily designed as a textbook, "Trigonometry" is a unique treatise on vectors, aiming at providing a fairly complete account of the basic concepts required to build a strong foundation for a student endeavouring to study this subject. The analytical approach to the major theories - Inverse Circular Functions, De-Moivre's Theorem, Hyperbolic Functions, Gregory's Series, Trigonometrical Expansions and many more - makes the book highly self-contained and comprehensive guide that succeeds in making the concepts easily understandable.All the elementary principles and fundamental concepts have been explained rigorously, leaving no scope for illusion or confusion. The focus throughout the text has been on presenting the subject matter in a well-knit manner and lucid style, so that even a student with average mathematical skill would find it accessible. In addition, the book provides numerous well-graded solved examples, generally set in various university and competitive examinations, which will facilitate easy understanding besides acquainting the students with a variety of questions. It is hoped that the book would be highly useful for the students and teachers of Mathematics. Students aspiring to successfully accomplish engineering and also those preparing for various competitive examinations are likely to find this book of much help.

Edition details

• Publisher: Atlantic Publishers & Distributors Pvt Ltd
• Publication date: 2005
• Language: English
• ISBN 10: 8126905603
• ISBN 13: 9788126905607
• Binding: Hardcover
• Number of pages: 312