i have been staring at my book for the past hour waiting for divine inspiration...

you know the identities where for example sin(x) = 1 / csc(x) and cos(x) = 1 / sec(x)

HOW do i apply that stuff to for example this (directions just say "simplify"):

cos(x) / sec(x) - tan(x)

i have tried everything. i can't get this to work. the answer according to the back of the book is 1 + sin(x)

please respond this is due on wednesday and there's about 80 problems, none of which i can comprehend!!