everything you have been taught for GCSE! Seriously, that's what it says in the specification. http://www.aqa.org.uk/qual/pdf/AQA-4306-W-SP-09.PDF page 11 Clearly anything with sin/cos/tan needs a calculator so paper 2. Probably not the quadratic formula but even with that you can be asked to leave your answer in surd form. Otherwise they can (and do) examine anything.