Difference between revisions of "2021 Fall AMC 12A Problems/Problem 19"
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Revision as of 19:17, 23 November 2021
Problem 19
Let be the least real number greater than such that sin = sin, where the arguments are in degrees. What is rounded up to the closest integer?
Solution 1
The smallest to make would require , but since needs to be greater than , these solutions are not valid.
The next smallest would require , or .
After a bit of guessing and checking, we find that , and , so the solution lies between and , making our answer
Note: One can also solve the quadratic and estimate the radical.
~kingofpineapplz