If $A+B+C=\frac{\pi}{4}$, then $\sin 4 A+\sin 4 B+\sin 4 C=$

• Correct answer
  A

  $4 \cos 2 \mathrm{~A} \cos 2 \mathrm{~B} \cos 2 \mathrm{C}$
• B

  $4 \sin 2 \mathrm{~A} \sin 2 \mathrm{~B} \sin 2 \mathrm{C}$
• C

  $1+4 \sin 2 \mathrm{~A} \sin 2 \mathrm{~B} \sin 2 \mathrm{C}$
• D

  $1+4 \cos 2 \mathrm{~A} \cos 2 \mathrm{~B} \cos 2 \mathrm{C}$

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