If $\tan \left(\mathrm{k}+1\right)\theta =\tan \theta$, then the set of all the values of $\theta$ is 

• A

  $\{\mathrm{n}\pi :\mathrm{n}\in I\}$
• B

  $\left\{\frac{\text{n}\pi }{2}\text{ : }\text{n}\in \mathit{\text{I}}\right\}$
• Correct answer
  C

  $\left\{\frac{\text{n}\pi }{\text{k}}\text{ : }\text{n}\in \mathit{\text{I}}\right\}$
• D

  $\left\{\frac{\text{n}\pi }{4}\text{ : }\text{n}\in \mathit{\text{I}}\right\}$

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