{"status": "success", "data": {"description_md": "The functions $\\sin(x)$ and $\\cos(x)$ are periodic with least period $2\\pi$. What is the least period of the function $\\cos(\\sin(x))$?\n\n$\\textbf{(A)}\\ \\frac{\\pi}{2}\\qquad\\textbf{(B)}\\ \\pi\\qquad\\textbf{(C)}\\ 2\\pi \\qquad\\textbf{(D)}\\ 4\\pi \\qquad\\textbf{(E)}$ It's not periodic.\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>The functions  <span class=\"katex--inline\">\\sin(x)</span>  and  <span class=\"katex--inline\">\\cos(x)</span>  are periodic with least period  <span class=\"katex--inline\">2\\pi</span> . What is the least period of the function  <span class=\"katex--inline\">\\cos(\\sin(x))</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{\\pi}{2}\\qquad\\textbf{(B)}\\ \\pi\\qquad\\textbf{(C)}\\ 2\\pi \\qquad\\textbf{(D)}\\ 4\\pi \\qquad\\textbf{(E)}</span>  It&#8217;s not periodic.</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": "2017 AMC 12B Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12B_p08", "prev": "/problem/17_amc12B_p06"}}