{"status": "success", "data": {"description_md": "How many solutions does the equation $\\tan{(2x)} = \\cos{(\\tfrac{x}{2})}$ have on the interval $[0, 2\\pi]?$\n\n$\\textbf{(A) } 1 \\qquad \\textbf{(B) } 2 \\qquad \\textbf{(C) } 3 \\qquad \\textbf{(D) } 4 \\qquad \\textbf{(E) } 5$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>How many solutions does the equation  <span class=\"katex--inline\">\\tan{(2x)} = \\cos{(\\tfrac{x}{2})}</span>  have on the interval  <span class=\"katex--inline\">[0, 2\\pi]?</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 1 \\qquad \\textbf{(B) } 2 \\qquad \\textbf{(C) } 3 \\qquad \\textbf{(D) } 4 \\qquad \\textbf{(E) } 5</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2020 AMC 12A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc12A_p10", "prev": "/problem/20_amc12A_p08"}}