Consider the function $f(x) = \sin(x)$ in the interval $x =\left[\frac{\pi}{4},\frac{7\pi}{4}\right]$. The number and location(s) of the local minima of this function are
(A) One, at $\dfrac{\pi}{2}$
(B) One, at $\dfrac{3\pi}{2}$
(C) Two, at $\dfrac{\pi}{2}$ and $\dfrac{3\pi}{2}$
(D) Two, at $\dfrac{\pi}{4}$ and $\dfrac{3\pi}{2}$