Methods for providing broad spectrum photo protection to skin using antioxidants that provide UVA protection to skin are described. The methods include topically applying a cosmetic composition comprising: (a) at least one antioxidant having an Oxygen Radical Absorbance Capacity (ORAC) of at least 10,000 μmol TE/g and a Hydroxyl Radical Absorbance Capacity (HORAC) of at least 2,600 μmol GAE/g； (b) at least one organic UV filter； and (c) a cosmetically acceptable carrier； wherein the cosmetic composition provides an increase in UVAPPD PF of at least 30% relative to an otherwise identical cosmetic composition without the antioxidant(s) of (a). The disclosure also relates to the cosmetic compositions useful in the described methods.
