Question

How do you find the value of `csc ((5pi)/3)`?

Answer 1

`- (2sqrt3)/3`

Explanation:

`csc ((5pi)/3) = 1/(sin ((5pi)/3)`
Find `sin ((5pi)/3).`
`sin ((5pi)/3) = sin (-pi/3 + 2pi) = sin (-pi/3) =`
`= - sin (pi/3) = - sqrt3/2`
Therefor,
`csc ((5pi)/3) = 1/(sin) = - 2/sqrt3 = - (2sqrt3)/3`