Sara Lewis answered
If you need to write a letter to request some time off work for sick leave, it sounds as though this may be for a serious or ongoing condition, in which case I am assuming that your doctor is aware of it?
They will usually sign you off for a short period - perhaps a week a two - and then towards the end of that period you would see them again, so they can assess if you have recovered sufficiently to go back to work.
If you have not been to see the doctor, or do not wish to, you could just write a letter to your employer, but if you want sick leave, ie. You want to want to be paid for your time off, you will have to provide a doctors certificate this.