TY - BOOK AU - Delbourgo, Roger TI - Trigonometry: Notes, Problems and Exercises SN - 9789813207103 U1 - 516.24 PY - 2017/// CY - New Jersey PB - World Scientific Publishing Co. Pte. Ltd. KW - Trigonometry N1 - 1. Pythagoras' Theorem 2. Degrees versus Radians 3. Cartesian and Polar Coordinates. The Sine and Cosine Ratios 4. The Cosine Rule 5. Stewart's Theorem. Medians and the Centroid G 6. The Circumcentre, O. The Sine Rule 7. Area. Hero's Formula 8. The Tangent Ratio 9. Some Very Special Angles 10. Cosecant, Secant, Cotangent. Proving Simple Identities 11. Further Problems- Heights & Distances 12. The Factorisation Formulae & Napier's Tangent Rule 13. Addition Formulae for Sines & Cosines 14. Addition Formulae for Tangents 15. Further Half-Angle Formulae 16. Solving the Equation a sin θ + b cos θ = c 17. Ptolemy's Theorem 18. Morley's Trisector Theorem 19. Cyclic Quadrilaterals and Brahmagupta's Formula 20. Graphs of the Six Trigonometrical Ratios 21. Graphs of the Six Inverse Trigonometrical Ratios 22. Addition Formulae for Inverse Functions & Rutherford's and Machin's Formulae 23. Solving Simultaneous Equations 24. The Problem of Elimination 25. Angle Bisectors and the Incentre, I 26. Altitudes, the Orthocentre, H and the Pedal Triangle 27. The Distances OI, OH, IH 28. External Angle Bisectors and the Ex-centres Ia, Ib, Ic 29. The Distances AIa, OIa, HIa 30. The Nine-Point Centre, N. The Feuerbach Circle 31. The Distances IG, IN 32. Napoleon Circles and the Format Point 33. Small Angles in Radians 34. Euler's Product. A Limit for π 35. Angle of Dip and Distance to Horizon 36. A Series for π 37. Stricter Inequalities. More Limits ER -