`Write a function my_cos that approximates
by a Taylor polynomial.
The subroutine should work for
(this is
sufficient, since the interval covers one period of the cosine).
`

`The function should take two arguments, and , and should return
the value of . The order of the Taylor polynomial
is determined inside the function such that
`

`The maximal order allowed for the Taylor polynomial is 100.
If we did not succed to properly approximate
with polynomials of order up to 100,
then probably something is wrong (e.g. the
required is smaller than the machine epsilon, etc).
In this situation
the function prints an error message and returns
(the returned value is .
`

`The main program should compute
my_cos(x) and cos(x) and compare their values
for
;
for each tolerance use
with
.
`

`
`

Adrian Sandu 2001-08-26