Thread: Problem 45
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Old February 12th, 2008, 09:23 PM
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Default Problem 45
1)Prove that \sin 1^{\circ} and \cos 1^{\circ} are irrational.

3)Suppose that \sum_{k=0}^n k^m = P_m(n) where P_m is an m+1-degree polynomial. Prove that the leading coefficient of P_m is 1/(m+1).
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