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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