Answer:
[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]
Step-by-step explanation:
[tex] 4 \sin \theta - 1 = -3 [/tex]
[tex] 4 \sin \theta = -2 [/tex]
[tex] \sin \theta = \dfrac{-2}{4} [/tex]
[tex] \sin \theta = -0.5 [/tex]
For sin θ = 0.5, the reference angle is θ = 30 deg.
[tex] \sin 30^\circ = 0.5 [/tex]
[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]
