Difference between revisions of "1999 AIME Problems/Problem 11"

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== Solution ==
 
== Solution ==
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== See also ==
 
== See also ==
 
{{AIME box|year=1999|num-b=10|num-a=12}}
 
{{AIME box|year=1999|num-b=10|num-a=12}}

Revision as of 09:36, 11 October 2007

Problem

Given that $\sum_{k=1}^{35}\sin 5k=\tan \frac mn,$ where angles are measured in degrees, and $m_{}$ and $n_{}$ are relatively prime positive integers that satisfy $\frac mn<90,$ find $m+n.$

Solution

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See also

1999 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 10
Followed by
Problem 12
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions