2006 AIME A Problems/Problem 12
Revision as of 17:50, 25 September 2007 by Azjps (talk | contribs) (2006 AIME II Problems/Problem 12 moved to 2006 AIME A Problems/Problem 12)
Problem
Find the sum of the values of such that where is measured in degrees and
Solution
Observe that by the sum-to-product formulas. Defining and , we have . But , so we require , , , or .
Hence the solution set is and thus .
See also
2006 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |