right ive been given some questions for tomorrow after a 5 month break from university and i have completely lost the technique

1) using product rule find f'(t) of cos t sin t

i manage to get (-sin t)^2 (cos t)^2

2) use quotient rule to find f'(t) of cos t / sin t

once again i manage to get - sin^2 t - cos^2 t / sin^2 t

i cant help but think i should be getting very simple answers?