When is sinx+cosx+tanx+cotx+secx+cscx an integer ?

Details When is sinx+cosx+tanx+cotx+secx+cscx an integer ? When is sinx+cosx+tanx+cotx+secx+cscx an integer ?

2008-03-28

arxiv.org/abs/0803.4184v1

Mathematics

General Mathematics

9 pages

Scientific paper

In this paper, we investigate the one-variable equation,
sinx+cosx+tanx+cotx+secx+cscx=n, where n is an integer. We prove that if n lies
between(inclusively) -1 and 6; then the above equation has no real number
solutions. While if n is greater than or equal to 7; or less than or equal to
-2, then the said equation has a nonempty solution set which we describe.

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