I have always been decent at math. I found the trig part of pre-cal rather painful, but got through it with an A. Algebra has not been a problem, though I did need quite a refresher after a 17 year break from school. All that being said, I have had a year off since pre-calc and then calc 1 and I am taking Physics 1 right now. The fact that it is a 5 week summer course is probably the most painful part of it. (Three chapters a week and one or two new concepts daily)...
Considering this, here is my advice (OP seems to already have a plan but maybe others will be reading this later). Make sure you understand the trig. Yes, learn Soh Cah Toa.... but also make sure you get why it works... Some understanding of the unit circle helps.... And the advice about being strong in algebra is also very sound.
The main point is this... There is some reasoning and thinking about these physics problems that needs to be your focus. So if you are getting a problem wrong, after a couple checks you can be sure that the error was in your method, not your math.
If you are a quick study and good at self teaching - hit up Khan Academy... that website is pure awesome and has helped me enormously on basic concepts. But if math is something that has been a bit of a struggle historically, take the time to really get good at it. (Example: Algebra is very hard if you are not confident in your ability to add, subtract, multiply and divide..... in such a way, Physics is hard if you are not confident in your triangle angles and algebra abilities...)
Good luck!