Further Reading 213 23. Fomin, D.; Kirichenko, A., Leningrad Mathematical Olympiads 1987–1991, MathPro Press, 1994. 24. Fomin, D.; Genkin, S.; Itenberg, I., Mathematical Circles, American Mathematical Society, 1996. 25. Graham, R. L.; Knuth, D. E.; Patashnik, O., Concrete Mathematics, Addison- Wesley, 1989. 26. Gillman, R., A Friendly Mathematics Competition, The Mathematical Association of America, 2003. 27. Greitzer, S. L., International Mathematical Olympiads, 1959–1977, New Mathematical Library, Vol. 27, Mathematical Association of America, 1978. 28. Holton, D., Let’s Solve Some Math <strong>Problems</strong>, A Canadian Mathematics Competition Publication, 1993. 29. Kazarinoff, N. D., Geometric Inequalities, New Mathematical Library, Vol. 4, Random House, 1961. 30. Kedlaya, K; Poonen, B.; Vakil, R., The William Lowell Putnam Mathematical Competition 1985–2000, The Mathematical Association of America, 2002. 31. Klamkin, M., International Mathematical Olympiads, 1978–1985, New Mathematical Library, Vol. 31, Mathematical Association of America, 1986. 32. Klamkin, M., USA Mathematical Olympiads, 1972–1986, New Mathematical Library, Vol. 33, Mathematical Association of America, 1988. 33. Kürschák, J., Hungarian Problem Book, volumes I&II, New Mathematical Library, Vols. 11 & 12, Mathematical Association of America, 1967. 34. Kuczma, M., 144 <strong>Problems</strong> of the Austrian–Polish Mathematics Competition 1978–1993, The Academic Distribution Center, 1994. 35. Kuczma, M., International Mathematical Olympiads 1986–1999, Mathematical Association of America, 2003. 36. Larson, L. C., Problem-Solving Through <strong>Problems</strong>, Springer-Verlag, 1983. 37. Lausch, H. The Asian Pacific Mathematics Olympiad 1989–1993, Australian Mathematics Trust, 1994. 38. Liu, A., Chinese Mathematics Competitions and Olympiads 1981–1993, Australian Mathematics Trust, 1998.
214 <strong>103</strong> <strong>Trigonometry</strong> <strong>Problems</strong> 39. Liu, A., Hungarian Problem Book III, New Mathematical Library, Vol. 42, Mathematical Association of America, 2001. 40. Lozansky, E.; Rousseau, C. Winning Solutions, Springer, 1996. 41. Mitrinovic, D. S.; Pecaric, J. E.; Volonec, V. Recent Advances in Geometric Inequalities, Kluwer Academic Publisher, 1989. 42. Savchev, S.; Andreescu, T. Mathematical Miniatures, Anneli Lax New Mathematical Library, Vol. 43, Mathematical Association of America, 2002. 43. Sharygin, I. F., <strong>Problems</strong> in Plane Geometry, Mir, Moscow, 1988. 44. Sharygin, I. F., <strong>Problems</strong> in Solid Geometry, Mir, Moscow, 1986. 45. Shklarsky, D. O; Chentzov, N. N;Yaglom, I. M., The USSR Olympiad Problem Book, Freeman, 1962. 46. Slinko,A., USSR Mathematical Olympiads 1989–1992,Australian Mathematics Trust, 1997. 47. Szekely, G. J., Contests in Higher Mathematics, Springer-Verlag, 1996. 48. Taylor, P. J., Tournament of Towns 1980–1984, Australian Mathematics Trust, 1993. 49. Taylor, P. J., Tournament of Towns 1984–1989, Australian Mathematics Trust, 1992. 50. Taylor, P. J., Tournament of Towns 1989–1993, Australian Mathematics Trust, 1994. 51. Taylor, P. J.; Storozhev,A., Tournament of Towns 1993–1997,Australian Mathematics Trust, 1998. 52. Yaglom, I. M., Geometric Transformations, New Mathematical Library, Vol. 8, Random House, 1962. 53. Yaglom, I. M., Geometric Transformations II, New Mathematical Library, Vol. 21, Random House, 1968. 54. Yaglom, I. M., Geometric Transformations III, New Mathematical Library, Vol. 24, Random House, 1973.
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About the Authors Titu Andreescu re
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Titu Andreescu University of Wiscon
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vi Contents Vectors 41 The Dot Prod
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viii Preface Throughout MOSP, full
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Abbreviations and Notation Abbrevia
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103 Trigonometry Problems
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