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


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 and Part 65537-6.
We define subsets B63, B64, B65, B66, ... B125, B126. We define them similarly as on the previous pages. Let us take for example take Part 65537-6. We construct the same way taking numbers 63,64 instead of numbers 31,32.
Values of hi are shown on the applet below. Formulas of previous pages show how in a simple way find ti knowing hi. Signs plus or minus in the formula for ti can be 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.
You can see formulas for hi clicking on orange area and the same to return.

See the next parts of this page Part 65537-8, Part 65537-9, Part 65537-10, Part 65537-11, Part 65537-12, Part 65537-13, Part 65537-14.



See the next parts of this page Part 65537-8, Part 65537-9, Part 65537-10, Part 65537-11, Part 65537-12.


See the list and descriptions of mathematical pages from Mathematical Countryside.

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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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