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AMC 12A Fall 2021 (Problem 19)

TrigonometryHard
Let xx be the least real number greater than 11 such that sin⁡(x)=sin⁡(x2)\sin(x)=\sin(x^2), where the arguments are in degrees. What is xx rounded up to the closest integer?
(A)  10\text{(A)}\;10(B)  13\text{(B)}\;13(C)  14\text{(C)}\;14(D)  19\text{(D)}\;19(E)  20\text{(E)}\;20