Inverse Trigonometric Functions

In mathematics, the inverse trigonometric functions (occasionally called cyclometric functions) are the inverse functions of the trigonometric functions with suitably restricted domains.

The notations sin−1, cos−1, tan−1, etc. are often used for arcsin, arccos, arctan, etc., but this convention logically conflicts with the common semantics for expressions like sin2(x), which refer to numeric power rather than function composition, and therefore may result in confusion between multiplicative inverse and compositional inverse.

In computer programming languages the functions arcsin, arccos, arctan, are usually called asin, acos, atan. Many programming languages also provide the two-argument atan2 function, which computes the arctangent of y / x given y and x, but with a range of (−π, π].

Read more about Inverse Trigonometric Functions:  Etymology of The Arc- Prefix, Principal Values, Relationships Among The Inverse Trigonometric Functions, Relationships Between Trigonometric Functions and Inverse Trigonometric Functions, General Solutions, Derivatives of Inverse Trigonometric Functions, Expression As Definite Integrals, Infinite Series, Continued Fractions For Arctangent, Indefinite Integrals of Inverse Trigonometric Functions, Two-argument Variant of Arctangent, Arctangent Function With Location Parameter, Logarithmic Forms, Arctangent Addition Formula, Application: Finding The Angle of A Right Triangle, Practical Considerations

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