Values of Trigonometric Functions of Angles
(n*pi)/65537. Part XI.
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,
Part 65537-7,
Part 65537-8,
Part 65537-9,
Part 65537-10.
We define subsets B1023, B1024, B1025, B1026, ... B2045, B2046.
We define them similarly as on the previous page, but with the number 1024 instead of 512.
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.
In the following applet use applet's scrollbar to see whole formulas.
We showed all formulas needed further. There are still formulas for ti with index i bigger than 1278, which are not included
in applets. They are available for sponsors of Literka. However, Literka thinks that it is hard to analyse these formulas, since
each of them consists of 1024 terms.
Software that you really need.