1992 AIME Problems/Problem 11
Problem
Lines 
and 
both pass through the origin and make first-quadrant angles of 
and 
radians, respectively, with the positive x-axis. For any line 
, the transformation 
produces another line as follows: is reflected in , and the resulting line is reflected in . Let 
and 
. Given that is the line 
, find the smallest positive integer 
for which 
.
Solution
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