Question

Csc^2x – 5 csc x = 0

Answer 1

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)

x ≈ 11.5° or 168.5°