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arXiv · 0803.4184

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

Konstantine Zelator
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Abstract

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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Konstantine Zelator. 2008-03-28. When is sinx+cosx+tanx+cotx+secx+cscx an integer ?. https://arxiv.org/abs/0803.4184

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