Domain and Range of all Trig Functions

sin x

Domain: (-∞, ∞); Range: [-1, 1]

cos x

Domain: (-∞, ∞); Range: [-1, 1]

tan x

Domain: x ≠ π/2 + nπ, n ∈ ℤ; Range: (-∞, ∞)

cot x

Domain: x ≠ nπ, n ∈ ℤ; Range: (-∞, ∞)

sec x

Domain: x ≠ π/2 + nπ, n ∈ ℤ; Range: (-∞, -1] ∪ [1, ∞)

csc x

Domain: x ≠ nπ, n ∈ ℤ; Range: (-∞, -1] ∪ [1, ∞)

Inverse Trig Functions

arcsin x

Domain: [-1, 1]; Range: [-π/2, π/2]

arccos x

Domain: [-1, 1]; Range: [0, π]

arctan x

Domain: (-∞, ∞); Range: (-π/2, π/2)

arccot x

Domain: (-∞, ∞); Range: (0, π)

arcsec x

Domain: (-∞, -1] ∪ [1, ∞); Range: [0, π], y ≠ π/2

arccsc x

Domain: (-∞, -1] ∪ [1, ∞); Range: [-π/2, π/2], y ≠ 0