3 years ago

Csc^2x – 5 csc x = 0

Mathematics

1 answer:

kompoz [17]3 years ago

3 0

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°

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