sorry can't tell you how many of these are on the DAT. I havent take it yet 😀
the only thing i can tell you for these types of problems is this:
first look for trig identities
then right everything in terms of sine and cosine
then simplify ( you may have to use trig identities again)
another formula that comes in handy for these types of problems is:
a^2-b^2 = (a-b)(a+b)
if you have any specific question just post here
good luck