1974 AHSME Problems/Problem 22
Problem
The minimum of is attained when
is
Solution
Define a new number such that
and
. Notice that
. Therefore, we have
.
Recognizing the angle sum formula, we can rewrite this as . We can now clearly see that the minimum is
, and this is achieved when
. Plugging in
, we get
.
See Also
1974 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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