Skip to content / Đến nội dung
ThichHocToan.com

2018 AMC 12A Question 9

AMC12 · 2018 AMC 12A

Question 9

Which of the following describes the largest subset of values of $y$ within the closed interval $[0, \pi]$ for which $$
\sin(x + y) \le \sin(x) + \sin(y)
$$ for every $x$ between $0$ and $\pi,$ inclusive?
  1. $y = 0$
  2. $0 \le y \le \tfrac{\pi}{4}$
  3. $0 \le y \le \tfrac{\pi}{2}$
  4. $0 \le y \le \tfrac{3\pi}{4}$
  5. $0 \le y \le \pi$