Niven,s Theorem
المؤلف:
Niven, I. M.
المصدر:
Irrational Numbers. New York: Wiley
الجزء والصفحة:
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17-10-2020
897
Niven's Theorem
Niven's theorem states that if
and
are both rational, then the sine takes values 0,
, and
.
Particular cases include
REFERENCES:
Niven, I. M. Irrational Numbers. New York: Wiley, pp. 37-41, 1956.
Schaumberger, N. "A Classroom Theorem on Trigonometric Irrationalities." Two-Year College Math. J. 5, 73-76, 1974.
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