Answer:
x ≈ 199.5°, x ≈ 340.5°
Step-by-step explanation:
Given
1 + 3sinx = 0 ( subtract 1 from both sides )
3sinx = - 1 ( divide both sides by 3 )
sinx = - [tex]\frac{1}{3}[/tex]
Since sinx < 0 then x is in the third/ fourth quadrants, thus
x = [tex]sin^{-1}[/tex] ([tex]\frac{1}{3}[/tex] ) ≈ 19.5° ← related acute angle, then
x = 180° + 19.5° = 199.5°
x = 360° - 19.5° = 340.5°
Solution is x = 199.5°, x = 340.5° for 0° < x < 360°
