$\tan \left(\frac{3 \pi}{16}\right)+\cot \left(\frac{3 \pi}{16}\right)=$

• A

  $\sqrt{\sqrt{2}-1}$
• B

  $2 \sqrt{\sqrt{2}-1}$
• C

  $2^{3 / 4} \sqrt{\sqrt{2}-1}$
• Correct answer
  D

  $2^{5 / 4} \sqrt{\sqrt{2}-1}$

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