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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