Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 3"
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3. Let <math>\triangle ABC</math> have <math>BC=\sqrt{7}</math>, <math>CA=1</math>, and <math>AB=3</math>. If <math>\angle A=\frac{\pi}{n}</math> where <math>n</math> is an integer, find the remainder when <math>n^{2007}</math> is divided by <math>1000</math>. | 3. Let <math>\triangle ABC</math> have <math>BC=\sqrt{7}</math>, <math>CA=1</math>, and <math>AB=3</math>. If <math>\angle A=\frac{\pi}{n}</math> where <math>n</math> is an integer, find the remainder when <math>n^{2007}</math> is divided by <math>1000</math>. | ||
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Revision as of 14:56, 24 July 2006
3. Let 
have 
, 
, and 
. If 
where 
is an integer, find the remainder when 
is divided by 
.
