Difference between revisions of "2017 AMC 12A Problems/Problem 15"

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Revision as of 17:52, 8 February 2017

Problem

Let $f(x) = sinx + 2cosx + 3tanx$, using radian measure for the variable $x$. In what interval does the smallest positive value of $x$ for which $f(x) = 0$ lie?

$\textbf{(A)}\ (0,1)  \qquad \textbf{(B)}\ (1, 2) \qquad\textbf{(C)}\ (2, 3) \qquad\textbf{(D)}\ (3, 4) \qquad\textbf{(E)}\ (4,5)$