Could the use of binaural beats help me in increasing my alertness and other cognitive functions?

Yes, especially if: You'll benefit most if you take it quite seriously and use it as recommended by those who know it well. This is due to expectancy effects. These are a potent force that moves us into reproducing mental, even physical, states that we have experienced. Our path to the memory is opened by the procedure. It can't do as well w/ a novel experience, but one you've known - yes. Our minds do it frequently!