Pipe A can fill a tank in 12 hours, pipe B can fill the same tank in 22 hours and pipe C can fill the same tank in 8 hours. The time taken by them to fill the same tank if they operate together is:
4 \( \frac{63}{67} \) hours
3 \( \frac{63}{67} \) hours
2 \( \frac{63}{67} \) hours
5 \( \frac{63}{67} \) hours
Simplify: \(\frac{\sin A\tan A}{1-\cos A}\)