This is the 10622nd most frequent Polish word.
domagając
"Domagając" means "demanding" or "insisting on" in English.
In this sentence, 'domagając' highlights the act of demanding that coincides with the act of the leader speaking.
Lider grupy przemawiał, domagając się solidarności w trudnych czasach.
The leader of the group spoke, demanding solidarity in challenging times.
Here, 'domagając' describes the children simultaneously playing and expressing demand for extended playtime.
Dzieci bawiły się w ogrodzie, domagając się dodatkowego czasu na zabawę.
The children played in the garden, demanding additional time for play.
The word 'domagając' is used as a present participle indicating that someone is actively demanding while they perform another action, in this case, trusting.