Domain, Range, and Period of Trig Functions
sin x:
Domain: R = {Set of real numbers}
Range: [−1, 1]
Period: 2π
cos x:
Domain: R = {Set of real numbers}
Range: [−1, 1]
Period: 2π
tan x:
Domain: {x ∈ R: x ≠ ± π/2, ± 3π/2, ± 5π/2, ...}
Range: R = {Set of real numbers}
Period: π
cot x:
Domain: {x ∈ R: x ≠ 0, ± π, ± 2π, ± 3π, ...}
Range: R = {Set of real numbers}
Period: π
sec x:
Domain: {x ∈ R: x ≠ ± π/2, ± 3π/2, ± 5π/2, ...}
Range: (−∞, −1] ∪ [1, ∞)
Period: 2π
csc x:
Domain: {x ∈ R: x ≠ 0, ± π, ± 2π, ± 3π, ...}
Range: (−∞, −1] ∪ [1, ∞)
Period: 2π
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