Function | Notation | Domain | Range | Common Value |
---|---|---|---|---|
arcsin(x) | sin⁻¹(x) | [-1, 1] | [-π/2, π/2] | arcsin(1/2) = π/6 = 30° |
arccos(x) | cos⁻¹(x) | [-1, 1] | [0, π] | arccos(1/2) = π/3 = 60° |
arctan(x) | tan⁻¹(x) | (-∞, ∞) | (-π/2, π/2) | arctan(1) = π/4 = 45° |
arccsc(x) | csc⁻¹(x) | (-∞, -1] ∪ [1, ∞) | [-π/2, 0) ∪ (0, π/2] | arccsc(2) = π/6 = 30° |
arcsec(x) | sec⁻¹(x) | (-∞, -1] ∪ [1, ∞) | [0, π/2) ∪ (π/2, π] | arcsec(2) = π/3 = 60° |
arccot(x) | cot⁻¹(x) | (-∞, ∞) | (0, π) | arccot(1) = π/4 = 45° |