often followed by `for' In exchange or in reciprocation.

synoniem: in return.

In a mutual or shared manner:
— The goals of the negotiators were not reciprocally exclusive.

synoniem: mutually.

Roget 12: mutually, mutatis mutandis [Lat.]; vice versa; each other, one another; by turns etc. 148; reciprocally etc. adj..

In an inverse or contrary manner:
— Wavelength and frequency are, of course, related reciprocally.

synoniem: inversely.