2021 Fall AMC 12A Problem 19

Let x be the least real number greater than 1 such that \sin(x) = \sin(x^2), where the arguments are in degrees. What is x rounded up to the closest integer?

\textbf{(A) } 10 \qquad \textbf{(B) } 13 \qquad \textbf{(C) } 14 \qquad \textbf{(D) } 19 \qquad \textbf{(E) } 20

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.