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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 liesbetween(inclusively) -1 and 6; then the above equation has no real numbersolutions. 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.

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