1. The problem statement, all variables and given/known data I'm trying to work out the period of a function of the form sin(ax)*cos(bx), where a =/= b. I'm trying solve how the values for a and b relate to the period. I've graphed a lot of functions, but I'm struggling to notice any patterns. The period always seems somewhat related to a and b, but I can't for the life of me work out how. I'd like to be able to show this algebraically for all values of a and b. 2. Relevant equations Possibly the double angle identities: sin2x = 2sinxcosx cos2x = cos2x–sin2x = 2cos2x–1 = 1–2sin2x 3. The attempt at a solution I've been trying to take out common values and use the double angle identities, but so far nothing seems to make sense. Am I just missing something obvious?