Question

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

Answer 1

Answer:

x = 240°, x = 300°

Step-by-step explanation:

Using the identity

sin x = $\frac{1}{cosecx}$ = $\frac{1}{-\frac{2}{\sqrt{3} } }$ = - $\frac{\sqrt{3} }{2}$ , then

x = $sin^{-1}$ ( $\frac{\sqrt{3} }{2}$ ) = 60° ← related acute angle

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

x = 180° + 60° = 240°

x = 360° - 60° = 300°