Answer:
x ≈ 11.5° or 168.5°
Step-by-step explanation:
csc² x − 5 csc x = 0
Factor:
csc x (csc x − 5) = 0
Set each factor to 0 and solve:
csc x = 0
sin x = undefined
no solution
csc x − 5 = 0
csc x = 5
sin x = 1/5
x = arcsin(1/5)