Spread Polynomials
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the conventional language of trigonometry, the nth-degree spread polynomial Sn, for n = 0, 1, 2, ..., may be characterized by the trigonometric identity sin^2(ntheta) = S_n(sin^2theta)., Although that is probably the simplest way to explain what spread polynomials are to those versed in well-known topics in mathematics, spread polynomials were introduced by Norman Wildberger for use in rational trigonometry, a subject in which one generally avoids the sine function...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the conventional language of trigonometry, the nth-degree spread polynomial Sn, for n = 0, 1, 2, ..., may be characterized by the trigonometric identity sin^2(ntheta) = S_n(sin^2theta)., Although that is probably the simplest way to explain what spread polynomials are to those versed in well-known topics in mathematics, spread polynomials were introduced by Norman Wildberger for use in rational trigonometry, a subject in which one generally avoids the sine function and the other trigonometric functions of angles. The angle at which two lines meet is determined by a rational function of their slopes, known as the spread between the two lines, and equal to the square of the sine. The rational function can be identified without mentioning the sine function; see rational trigonometry for more on this.
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