Jocelyn,
The first step is to FOIL the equation, i.e. (a + b) (c + d) = ac + ad + bc + bd.
Once you do that, I would suggest you look at the relationship between sin & csc and cos & sec, which should simplify some of those 4 terms.
With that done, you should have some fractions left, so I would try creating a common denominator and seeing if any thing reduces further using the sin^2 + cos*2 = 1 identity.
If any of these suggestions does not make sense, please feel free to email me or ask a followup questions. John
3/20/2013

John M.