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Values of Trigonometric
Functions of Angles (n*pi)/65537.
Part VIII.


by 'Literka'.



In the following text we'll be using the notations pi=3.14159... and w=(2*pi)/65537.


We'll be using all notations from the previous pages of Literka Values of trigonometric functions. Part 65537-1, Part 65537-2, Part 65537-3, Part 65537-4, Part 65537-5, Part 65537-6 and Part 65537-7.
We define subsets B127, B128, B129, B130, ... B253, B254. We define them similarly as on the previous pages, but with the number 128 instead of 32 (part 6) or 64 (part 7). Values of the corresponding ti or hi are shown on the applet below. Sings plus or minus in the formula for hi are determined in a different way. In our case the sequence of signs looks like this: "++-+++---++-+--++-+++--+-+-+-+---+-++-++--+++---+-+-+-+++-+----++--++---++-+++++--++--++++-++++++--+++--+++-++++--+-++--++-+-+--". Values hi were computed in a usual way as on previous pages.





See the next parts of this page Part 65537-9, Part 65537-10, Part 65537-11, Part 65537-12, Part 65537-13, Part 65537-14.

Next few pages will be similar to this one. More formulas, but shown in a different form, since formulas are becoming longer and longer.

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See other pages of 'Literka' from Mathematical Countryside:
Monotonic subsequences.
A remarkable monotonic property of the gamma function .
Weight centers of simple geometrical figures.
An elementary problem can be unsolvable.
Rudin's Theorem of Complex Analysis.
Construction of a regular pentagon.
Construction of a regular heptadecagon.
Construction of a regular polygon with 257 sides.
Roots of cubic equation. Cardano's formula.
Weierstrass Approximation Theorem.
Exact values of trigonometric functions of angles (n*pi)/17.
Equalities for values of trigonometric functions of angles (n*pi)/17.
Factorization of a polynomial, which defines values of sine function (angles n*pi/17).
Polynomials with roots cos(2*k*pi/n).
Factorization of polynomials with roots cos(2*k*pi/n), where n is Fermat number.
Values of trigonometric functions of angles (n*pi)/257. Part I.
Values of trigonometric functions of angles (n*pi)/257. Part II.
Values of trigonometric functions of angles (n*pi)/257. Part III.
Values of trigonometric functions of angles (n*pi)/257. Part IV.
Values of trigonometric functions of angles (n*pi)/257. Part V.
Values of trigonometric functions of angles (n*pi)/257. Part VI.
Values of trigonometric functions of angles (n*pi)/257. Part VII.

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