Conceptual Trigonometry Part I A Companion to S L Loney by Chandra Sekhar Kumar IIT Solution

Preface......Page 5
Sexagesimal and Centesimal Measure......Page 11
Circular Measure......Page 17
The Radian......Page 18
Measurement of Any Angle in Radians......Page 24
Trigonometrical Ratios......Page 31
Relations and Trigonometrical Ratios......Page 39
Values of Trigonometrical Ratios......Page 46
Simple Problems......Page 51
Tracing the changes in the ratios......Page 61
Angles of Any Size and Sign......Page 65
Generic Values......Page 75
Trigonometrical Equations......Page 83
Addition and Subtraction Theorems......Page 95
Product Formulae......Page 98
Converse Formulae......Page 106
Tangent of The Sum of Two Angles......Page 110
Multiple Angles......Page 113
Submultiple Angles......Page 124
Angles of 9, 18, 36, 81......Page 138
Identities......Page 143
Trigonometrical Equations......Page 155
Characteristics, Mantissa and Properties......Page 169
Proportional Parts......Page 175
Logarithmic Sines, Tangents And Secants......Page 182
Basics......Page 187
Sides And Angles of A Triangle......Page 190
Solution of Right-Angled Triangles......Page 205
Solution of Non-Right-Angled Triangles......Page 207
Two Sides and Included Angle......Page 212
Ambiguous Case......Page 223
One Side Two Angles vs. Three Angles......Page 230
Inaccessible Object and Distant Points......Page 235
Angle Subtended at Two Points......Page 246
Area of a Given Triangle......Page 269
The Circles Connected With A Triangle......Page 274
Orthocenter and Pedal Triangle......Page 282
Area of a Quadrilateral......Page 301
Regular Polygons......Page 306
Ratios of Small Angles......Page 317
Area of A Circle......Page 321
Dip of The Horizon......Page 324
Identities and Equations......Page 329
Simple Series......Page 345
Elimination of Unknown Quantity......Page 357