In a triangle $\mathrm{ABC},\left(r_2+r_3\right) \operatorname{cosec}^2\left(\frac{\mathrm{~A}}{2}\right)=$

• A

  $4 \mathrm{R} \cot \left(\frac{\mathrm{A}}{2}\right)$
• B

  $2 \mathrm{R} \cot ^2\left(\frac{\mathrm{~A}}{2}\right)$
• Correct answer
  C

  $\frac{4 \mathrm{R}}{\tan ^2\left(\frac{\mathrm{~A}}{2}\right)}$
• D

  $\frac{2 \mathrm{R}}{\tan \left(\frac{\mathrm{A}}{2}\right)}$

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