{"status": "success", "data": {"description_md": "Let $f(x) = \\sin{x} + 2\\cos{x} + 3\\tan{x}$, using radian measure for the variable $x$. In what interval does the smallest positive value of $x$ for which $f(x) = 0$ lie?\n\n$\\textbf{(A)}\\ (0,1)  \\qquad \\textbf{(B)}\\ (1, 2) \\qquad\\textbf{(C)}\\ (2, 3) \\qquad\\textbf{(D)}\\ (3, 4) \\qquad\\textbf{(E)}\\ (4,5)$\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>Let  <span class=\"katex--inline\">f(x) = \\sin{x} + 2\\cos{x} + 3\\tan{x}</span> , using radian measure for the variable  <span class=\"katex--inline\">x</span> . In what interval does the smallest positive value of  <span class=\"katex--inline\">x</span>  for which  <span class=\"katex--inline\">f(x) = 0</span>  lie?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ (0,1)  \\qquad \\textbf{(B)}\\ (1, 2) \\qquad\\textbf{(C)}\\ (2, 3) \\qquad\\textbf{(D)}\\ (3, 4) \\qquad\\textbf{(E)}\\ (4,5)</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": 3, "problem_name": "2017 AMC 12A Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12A_p16", "prev": "/problem/17_amc12A_p14"}}