Plane Trigonometry Part-1

CONTENTS
1. Measurement of Angles; Sexagesimal and Centesimal Measure
Circular, or Radian, Measure
2. Trigonometrical Ratios for Angles Less than a Right Angle
Values of 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 Functions 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 Submultiple
Angles
Explanation of ambiguities
Angles of 18 , 36 and 9
9. Identities and Trigonometrical Equations
10. Logarithms
Table of Logarithms
11. The Principle of Proportional Parts
12. Relations Between the Sides and
The Trigonometrical Ratios of the Angles of
any 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 and Regular Polygons
17. Trigonometrical Ratios of Small Angles.
sin < < tan
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