2006 AIME I Problems/Problem 12: Difference between revisions
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== Problem == | == Problem == | ||
Find the sum of the values of <math> x </math> such that <math> \cos^3 3x+ \cos^3 5x = 8 \cos^3 4x \cos^3 x, </math> where <math> x </math> is measured in degrees and <math> 100< x< 200. </math> | Find the sum of the values of <math> x </math> such that <math> \cos^3 3x+ \cos^3 5x = 8 \cos^3 4x \cos^3 x, </math> where <math> x </math> is measured in degrees and <math> 100< x< 200. </math> | ||
== Solution == | == Solution == | ||
== See also == | == See also == | ||
* [[2006 AIME I]] | * [[2006 AIME I Problems]] | ||
Revision as of 11:15, 30 June 2006
Problem
Find the sum of the values of
such that
where
is measured in degrees and