{"status": "success", "data": {"description_md": "In $\\triangle ABC$, $\\cos(2A-B)+\\sin(A+B)=2$ and $AB=4$. What is $BC$?\n\n$\\textbf{(A)}\\ \\sqrt{2} \\qquad \\textbf{(B)}\\ \\sqrt{3} \\qquad \\textbf{(C)}\\ 2 \\qquad \\textbf{(D)}\\ 2\\sqrt{2} \\qquad \\textbf{(E)}\\ 2\\sqrt{3}$\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>In  <span class=\"katex--inline\">\\triangle ABC</span> ,  <span class=\"katex--inline\">\\cos(2A-B)+\\sin(A+B)=2</span>  and  <span class=\"katex--inline\">AB=4</span> . What is  <span class=\"katex--inline\">BC</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\sqrt{2} \\qquad \\textbf{(B)}\\ \\sqrt{3} \\qquad \\textbf{(C)}\\ 2 \\qquad \\textbf{(D)}\\ 2\\sqrt{2} \\qquad \\textbf{(E)}\\ 2\\sqrt{3}</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": "2010 AMC 12B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc12B_p14", "prev": "/problem/10_amc12B_p12"}}