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2017 AMC 12B Question 7

AMC12 · 2017 AMC 12B

Question 7

The functions $\sin(x)$ and $\cos(x)$ are periodic with least period $2\pi.$ What is the least period of the function $\cos(\sin(x))?$
  1. $\dfrac{\pi}{2}$
  2. $\pi$
  3. $2\pi$
  4. $4\pi$
  5. It’s not periodic.