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If $y(x)$ satisfies the differential equation 

$(\sin x) \dfrac{\mathrm{d}y }{\mathrm{d} x} + y \cos x = 1,$

subject to the condition $y(\pi/2) = \pi/2,$ then $y(\pi/6)$ is

  1. $0$
  2. $\frac{\pi}{6}$
  3. $\frac{\pi}{3}$
  4. $\frac{\pi}{2}$
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