2017 AMC 12A Problems/Problem 15

Problem

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?

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

Page

Toolbox

Search

2017 AMC 12A Problems/Problem 15

Problem