Difference between revisions of "1999 AIME Problems/Problem 11"
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== Problem == | == Problem == | ||
| − | Given that <math> | + | Given that <math>\sum_{k=1}^{35}\sin 5k=\tan \frac mn,</math> where angles are measured in degrees, and <math>m_{}</math> and <math>n_{}</math> are relatively prime positive integers that satisfy <math>\frac mn<90,</math> find <math>m+n.</math> |
== Solution == | == Solution == | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=1999|num-b=10|num-a=12}} | |
| − | |||
| − | |||
Revision as of 09:36, 11 October 2007
Problem
Given that 
where angles are measured in degrees, and 
and 
are relatively prime positive integers that satisfy 
find 
Solution
See also
| 1999 AIME (Problems • Answer Key • Resources) | ||
| 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 | ||
