2014 AIME I Problems/Problem 7
Problem 7
Let and
be complex numbers such that
and
. Let
. The maximum possible value of
can be written as
, where
and
are relatively prime positive integers. Find
. (Note that
, for
, denotes the measure of the angle that the ray from
to
makes with the positive real axis in the complex plane.
Solution
Let $w = \cis{\alpha}$ (Error compiling LaTeX. Unknown error_msg) and $z = 10*\cis{\beta}$ (Error compiling LaTeX. Unknown error_msg).
See also
2014 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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