Difference between revisions of "2006 AIME I Problems/Problem 12"
m |
|||
| Line 1: | Line 1: | ||
== 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 12:15, 30 June 2006
Problem
Find the sum of the values of 
such that 
where is measured in degrees and 
