Answer: We can rewrite the given equation as:
(sin x + 1)² = 0
Taking the square root of both sides, we get:
sin x + 1 = 0
sin x = -1
The only solution to this equation over the interval [0, 2π) is:
x = 3π/2
Therefore, the correct choice is:
The solution over the interval [0, 2π) is x = 3π/2.
Explanation: