If the real valued function $f(x)=\left\{\begin{array}{cl}\frac{\cos 3 x-\cos x}{x \sin x} & \text { if } x < 0 \\ \mathrm{p} & \text { if } x=0 \\ \frac{\log (1+\mathrm{q} \sin x)}{x} & \text { if } x>0\end{array}\right.$ is continuous at $x=0$ then $\mathrm{p}+\mathrm{q}=$

• A

  4
• B

  -4
• C

  8
• Correct answer
  D

  -8

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