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New Advances in Trigonometry
Colin Gardner
其他書名
Multiple Pythagorean Relationships to Trigonometric Functions
出版Colin Gardner, 2002-08
主題Juvenile Nonfiction / Mathematics / GeneralYoung Adult Nonfiction / Mathematics / General
ISBN097203482X9780972034821
URLhttp://books.google.com.hk/books?id=Rk0oPQAACAAJ&hl=&source=gbs_api
註釋The book "Pythagorean Triangle Connections is herein referred to as Vol. 1. Provides all the equations and student/teacher problems given by the book "Examples Of Equations and Relationships Taken From "New Advances In Trigonometry," Vol. 1 & 2 as well as for additional equations taken from the book "Pythagorean Triangle Connections." There are approximately 55 pages of examples and problems for students and teachers with many additional pages of examples of what examples of these equations should provide. There are several pages of different types of UNITY equations including (1) Unity containing only trigonometry equations, (2) all three sides of All-Integer Pythagorean triangles, and (3) discovery equations fpr identifying All-Integer triangle sides. There are dozens of additional pages of new trigonometric IDENTITIES that do not fall into any categore described or used in any of the above cited pages of exmples, etc. There are SEVEN General Equations given to put sines and cosines on the sides of Pythagorean triangles. In addition, there is a computer program listing that produces (and represents) a large number of INFINITE series of equations that put sines and cosines on the sides of Pythagaorean triangles and where students and/or teachers are left to compute same. A sample output is given for reference and quality control (verification) purposes. The very first page provides several PRIMATIVE Pythagorean triangle side lengths with specific steps for student and/or teacher to CREATE the basic equations and characteristics of a Pythagorean triangle upon which all succeeding equations are based.