Inverse trigonometric functions

Inverse Trigonometric Functions (from Latin arcus " bow " ), as it implies its alternative name as inverse trigonometric functions, inverse functions of trigonometric functions; that is, the Inverse Trigonometric Functions deliver at a given angle function value the corresponding angle in radians. They are also called cyclometric functions.

There is a Arkusfunktion, the distinction is made between mathematical formulas and equations by a preceding or the code of the associated trigonometric function to each of the six trigonometric functions. Especially in the English-speaking world, but also on the keyboards of most calculators, finds himself more and more often a notation with the exponent -1, which is intended to signal that it is (but not the reciprocal) is the inverse function of said angle function:

Since the trigonometric functions are periodic functions, they are first of all not invertible - we restrict ourselves but on a monotone interval of the respective output function, such as to the interval or can the resulting limited function very well be inverted.

For the conversion from degrees to radians of an angle, the function name, or without further additives is common:

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