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Inverse Trigonometric Functions


Other Trigonometric Tables

Trigonometric Functions of Special Angles
Trigonometric Reduction Formulas
Double Angle Formulas

Inverse Trigonometric Functions - Domain, Range, and Principal Values

FunctionNotationDomainRangeCommon 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°