Plane Trigonometry Part – 1 is a comprehensive book for students pursuing advanced courses in mathematics. The book comprises of chapters on trigonometrical ratios, applications of algebraic signs to trigonometry, identities and trigonometrical equations, and logarithms. In addition, the book consists of several solved and unsolved questions for thorough practice and revision. This book is essential for students preparing for competitive exams like AIEEE, NTSE, IIT-JEE, and mathematics Olympiad.
About S. L. Loney
Sidney Luxton Loney was a Professor of mathematics at the Royal Holloway College in Surrey. He was also a fellow of Sidney Sussex College. He has authored several books including, A treatise on elementary dynamics Mechanics and hydrostatics for beginners, An elementary treatise on statics, and The elements of coordinate geometry.
Table of contents
Circular or Radian, Measure
2. Trigonometrical Ratios for Angles Less than a Right Angle
Values for Angles of 45°, 30°, 60°, 0° and 90°
3. Simple problems in Heights and Distances
4. Applications of algebraic Signs to Trigonometry
Tracing the Changes in the Ratios
5. Trigonometrical Ratios of Angles of Any Size and Sign
Ratios for — q, 90°— q, 90° + q
6. General Expressions for All Angles having a Given Trigonometrical Ratio
7. Trigonometrical Ratios of the Sum and Difference of Two Angles
Product Formulae
8. Trigonometrical Ratios of Multiple and Sub multiple of Angles
Explanation of Ambiguities
Angles of 18°, 36° and 9°
9. Identities and Trigonometrical Equations
10. Logarithms
Tables of Logarithms
11. The Principle of Proportional Parts
12. Relations Between the Side and Trigonometrical Ratios of the Angles of a Triangle
13. Solution of Triangles
Given Two Sides and the Included Angle
Ambiguous Case
14. Heights and Distances
15. Properties of a Triangle
The Circles Connected with a Given Triangle
Orthocentre and Pedal Triangle
Centroid and Medians
16. Quadrilaterals
Regular Polygons
17. Trigonometrical Ratios of Sin q < q < tan q Small Angles
Area of a Circle
Dip of the Horizon
18. Inverse Circular Functions
19. Summation of Some Simple Trigonometrical Series
20. Elimination
21. Projections
Miscellaneous Examples
Answers
Five-figure Logarithmic and Trigonometrical Tables
Attachment
| Publisher | Arihant |
| Publication Year | 2014 March |
| ISBN-13 | 9789351414933 |
| ISBN-10 | 9351414930 |
| Language | English |
| Edition | 4th |
| Binding | Paperback |
| Number of Pages | 270 Pages |
| Book Type | Entrance Exam Book |
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