Question

Please help me!!
The picture of the question is attached ​

Answer 1

x = 240°, x = 300°

Explanation:

Using the identity

sin x =
`(1)/(cosecx)` =
`(1)/(-(2)/(√(3) ) )` = -
`(√(3) )/(2)` , then

x =
`sin^(-1)` (
`(√(3) )/(2)` ) = 60° ← related acute angle

Since sin x < 0 then x is in 3rd / 4th quadrants

x = 180° + 60° = 240°

x = 360° - 60° = 300°