'frequently' originates from Latin, specifically the word 'frequentia,' where 'frequent-' meant 'crowded or repeated.' 'Shown' is the past participle of 'show,' which comes from Old English 'sceawian,' meaning 'to look at or see.'

'frequentia' transformed into the Old French word 'frequent,' and eventually became the modern English word 'frequent.' 'Sceawian' evolved into the Middle English word 'schewen,' and eventually became the modern English word 'show.'

Initially, 'frequent' meant 'crowded or repeated,' but over time it evolved into its current meaning of 'occurring often.' 'Show' initially meant 'to look at or see,' and this meaning has largely remained the same in modern usage.