Answer:
x = - π/2 or x = - π/2 + 2nπ n = integer
Explanation:
4csc²x+3cscx-1=0
(csc x + 1) (4csc x - 1) = 0
csc x = - 1 or csc x = 1/4
1/ sin x = - 1 or 1 / sin x = 1/4
sin x = - 1 or sin x = 4 (x no solution when sin x = 4)
sin x = - 1
x = - π/2 or x = - π/2 + 2nπ n = integer