Solve the given equation. sin^2 θ − 3 sin θ − 4 = 0?

I tried to factor it so that (sin-4) (sin+1) = 0 From there I came up with the answers sinθ = 4 and sin θ = 1. Since pi/2 yields a sin of 1, I answered as π/2 + 2kπ, and 3π/2 + 2kπ. This came out wrong and I'm just kind of wondering what I did wrong? I attempted to follow up with just answering π/2 + 2kπ and this was also incorrect.

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