I cough out blood and feel very dizzy?

It depends on many things to know what is the problem, what is your age, what country do you live in. Do you have any past medical history, do you have any diseases. One of the possibilities is TB (tuberculosis) which is an infiction caused by an acid fast bacteria called Mycobacteria TB and its treatment takes long time, about 6 to 8 months. Diagnosis relies on radiology (commonly chest X-rays), a tuberculin skin test, blood tests, as well as microscopic examination and microbiological culture of bodily fluids. This is just one of the differential diagnosis, dont stick to it, you have to visit your doctor and discuss that with him/her, dont forget to tell him about the blood, its important. Take care