Answer and Step-by-step explanation:
Starting with the equation:
-3 - 4sin(theta) = -3
Adding 3 to both sides of the equation, we get:
-4sin(theta) = 0
Dividing both sides by -4, we get:
sin(theta) = 0
Therefore, the solution to the equation -3 - 4sin(theta) = -3 is any angle theta that satisfies sin(theta) = 0. This includes multiples of π, where n is an integer. In other words, the solution set is:
θ = nπ, where n is an integer.