csc theta= -5/2, 3pi/2< theta< 2 pi

Question

how do i solve this? 

Answer 1

cscθ=-5/2    270º<θ<360º

csc=1/sin

1/sinθ=-5/2

sinθ=-2/5=-0.4

use a calculator to find θ

θ=-23.57817848º

360º-23.57817848=336.4218215

θ=336.4218215º

sin 336.4218215º=-0.4