To cause to move back and forth; give an alternating motion to.To give and return mutually; yield or perform each to each; interchange: as, to reciprocate favors.To give or do in response; yield a return of; requite correspondingly.To move backward and forward; have an alternating movement; act interchangeably; alternate.To act in return or response; do something equivalent or accordant: as, I did him many favors, but he did not reciprocate.In mathematics, to take the reciprocal of.