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Consider the function $f(x)=\sin(x)$ in the interval $\bigg [​\dfrac{ \pi}{4},\dfrac{7\pi}{4}\bigg ]$. The number and location(s) of the minima of this function are:

  1. One, at $\dfrac{\pi}{2} \\$
  2. One, at $\dfrac{3\pi}{2} \\$
  3. Two, at $\dfrac{\pi}{2}$ and $\dfrac{3\pi}{2} \\$
  4. Two, at $\dfrac{\pi}{4}$ and  $\dfrac{3\pi}{2}$
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