2020 AMC 12A Problems/Problem 9

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Problem 9

How many solutions does the equation tan$(2x)=cos(\frac{x}{2})$ have on the interval $[0,2pi]?$

$\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5$