The 1-aryl-2-aryloxyethane compounds of Formula 1in which n and m are zero or equal to 1, provided that n+m=1, R1 and R2 in particular representing hydrogen atoms, R3 and R4 in particular representing hydrogen atoms, halogen atoms, hydroxy or alkoxy groups, and R5 in particular representing hydrogen atoms, hydroxy, alkyl, alkoxy, amino or nitro groups, in cosmetic compositions intended for anti-ageing and/or depigmenting and/or anti-inflammatory and/or wound-healing care.