If a reference is needed to do simple arithmetic, algebra, and trig, then you never learned it in the first place.
Need the formula for the moment of inertia of a shell sphere? The coefficient of linear expansion of gallium? Fourier series of a sawtooth wave? If you've somehow forgotten the formula for the mean of a sample? It's all in there.
There were of course some things that weren't in the formula book - and if you had to look up every last thing, you'd face a lot more time pressure in exams.
Ugh; there's a reason why I'm switching my architecture course to MIPS32.
How many people will ever have a need to know the derivatives of the inverse trigonometric functions?
No, they wont.