2006 AIME I 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 we see by careful analysis of the cases that the solution set is and thus .
See also
2006 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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