I have taken bricanyl (terbutaline) syrup and now I'm feeling extreme tremors and palpitations. Is this common?

Bricanyl (terbutaline) Yes. Trembling and anxiousness are common side effects of this drug. See: http://www.Nlm.Nih.Gov/medlineplus/druginfo/meds/a682144.Html i would strongly urge you to discuss your side effects with the doctor who prescribed the drug for you.