Question

How do you do simplify `csc^-1 (-(2sqrt3)/3)`?

Answer 1

`-pi/3, -(2pi)/3`

Explanation:

`csc x = 1/sin x`
`csc x = ((-2sqrt3)/3)` --> `sin x = (-3/(2sqrt3)) = -sqrt3/2`

Unit circle and trig table of special arcs give:
`sin x = - sqrt3/2` --> arc `x = -pi/3` and `x = -(2pi)/3`.