Difference between revisions of "2010 AMC 12B Problems/Problem 13"
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Revision as of 20:39, 6 April 2010
We start by noticing that the maximum values for both the sine and the cosine function are 1.
Therefore, the only way for this equation to be true is if 
and 
, since if one of these equaled less than 1, the other one would have to be greater than 1 which contradicts our previous statement.
From this we easily conclude that 
and 
. Solving this system gives us 
and 
, which gives us a 
triangle. By drawing a diagram we can easily see that 
