Properties of the function f(x) = sin x. Domain: D = R. Image: Imf = [-1,1]. Zero: x_0 = kπ, k ∈ Z. Monotonicity: The function is monotonic on the intervals: strictly increasing on the intervals [-π/2 + 2kπ, π/2 + 2kπ], k ∈ Z; strictly decreasing on the intervals [π/2 + 2kπ, 3π/2 + 2kπ], k ∈ Z. Injectivity: Function is not injective. Evennes or oddness: Even function. Period: Function is periodic. The period T = 2π.