AP PreCalc / Domain & Range of arcs & trig

Domain of arcsin

[-1, 1]

Range of arcsin

[-π/2, π/2]

Domain of arccos

[-1, 1]

Range of arccos

[0, π]

Domain of arctan

(-∞, ∞)

Range of arctan

[-π/2, π/2]

Domain of sin

(-∞, ∞)

Range of sin

[-1, 1]

Domain of cos

(-∞, ∞)

Range of cos

[-1, 1]

Domain of tan

(-∞, ∞), except integer multiples of π/2 (x ≠ π/2 + kπ)

Range of tan

(-∞, ∞)

Domain of csc

(-∞, ∞), except integer multiples of π (x ≠ kπ)

Range of csc

(-∞, -1] U [1, ∞)

Domain of sec

(-∞, ∞), except integer multiples of π/2 (x ≠ π/2 + kπ)

Range of sec

(-∞, -1] U [1, ∞)

Domain of cot

(-∞, ∞), except integers of π (x ≠ kπ)

Range of cot

(-∞, ∞)