Abstract
This paper studies the following trigonometric indeterminate equation withgeometric significance(using degree measure)(sin(x°)sin(y°) sin(z°))/(sin(A°- x°) sin(B°- y°) sin(C°-z°))=1,where A,B,C are given positive integers satisfying 2≤A≤B≤C,A+B+C = 180,1≤x≤A-1,1≤y≤B-1,1≤z≤C-1.Two methods to the above equation areformulated.Following these two methods,all positive integer solutions of the equation areobtained via computer.
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More From: Journal of Systems Science and Mathematical Sciences
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