Question

Find the general solutions of cosec 2x =2/sqrt 3

Answer 1

Answer:

x = 30°, 60°

Step-by-step explanation:

Given

cosec 2x = 2/√3

⇒1/ sin 2x = 2/√3

⇒sin 2x = √3/2

⇒sin 2x = sin 60°   or  sin 2x = sin 120°

⇒ 2x = 60°   or   2x = 120°

⇒x = 30°   or   x = 60°

∴ x = 30°, 60°