Domain and Range of Trigonometric Functions

Domain of y=sin⁻¹x

[-1,1]

Range of y=sin⁻¹x

[-π/2, π/2]

Domain of y=cos⁻¹x

[-1,1]

Range of y=cos⁻¹x

[0,π]

Domain of y=tan⁻¹x

(-∞,∞)

Range of y=tan⁻¹x

(-π/2, π/2)

Domain of y=csc⁻¹x

(-∞,-1] U [1,∞)

Range of y=csc⁻¹x

[-π/2,0) U (0,π/2]

Domain of y=sec⁻¹x

Range of y=sec⁻¹x

[0,π/2) U (π/2,π]

Domain of y=cot⁻¹x

(-∞,∞)

Range of y=cot⁻¹x

(0,π)

Graph of y=cot⁻¹x

Graph of y=sec⁻¹x

Graph of y=csc⁻¹x

Graph of y=tan⁻¹x

Graph of y=sin⁻¹x

Graph of y=cos⁻¹x