I recommend you discuss this supplement with your primary care doctor
. In general, it is not possible to determine which supplements are safe or pose a specific danger without knowing the full details of your medical history.
Supplements are not tightly controlled by the FDA. A recent study has shown that many supplements do not actually contain the product they profess to contain. In some cases, they contain known toxins. As such, I do not generally recommend taking supplements that are not specifically recommended by your physician.
Beta-carotene in particular has received quite a bit of negative press in past years. Specifically, beta-carotene is associated with an increased risk of cancer and cardiovascular events in those with exposure to smoke or asbestos. These studies did not specifically study second-hand smoke. However, given the known dangerous side effects of beta-carotene with no proven benefits, I see little benefit and potential serious harm in taking this supplement, even at a decreased dose. Again, I recommend you discuss this with your physician, as well. Additionally, if there is a specific concern you have about your skin, your physician can help determine if there is a skin disease causing this issue.