How do you simplify # tan[cos^-1(-(sqrt3/2))]#?
The cosine value in brackets being negative,
There is an Inverse Trigonometric Identity that will help on this webpage
It says that
Using that, your expression can be simplified to
Do you need to take it further? Taking just part of the above
Plugging that into
Using my calculator, the whole thing is equal to -0.5774...
I hope this helps,