The function $f(x)=\sin x+\frac{1}{\sin x}$ in the interval $(0, \pi)$ has a

• Correct answer
  A

  local minima at $\pi / 2$.
• B

  local maxima at $\pi / 3$.
• C

  local minima at $\pi / 6$.
• D

  local maxima at $\pi / 4$.

Hence, the correct answer is option: 'A'.