AMC 12A Fall 2021 (Problem 19)
Let be the least real number greater than 1 such that , where the arguments are in degrees. What is rounded up to the closest integer?
Use 36. General Solutions of Trigonometric Equations.
or , , in degrees.
Case 1: . Then . Minimum occurs at : .
Case 2: . Then . Minimum is at : . Round up: 13.
(B) 13