Topic 3.1 The Inverse Functions of Sine and Cosine

The Inverse Functions of Sine and Cosine introduces the inverses to the basic trig functions. These functions [latex]y= \sin^{-1} (x)[/latex] and [latex]y= \cos^{-1} (x)[/latex] are also denoted [latex]y = \arcsin (x)[/latex] and [latex]y = \arccos (x)[/latex] respectively, as is mentioned in Right Triangle Geometry. It relies on the unit circle values found in The Unit Circle – Part I and Part II. It is helpful to have an understanding of how the graph of a function illustrates the domain and range of a function, and further details of the domain and range of the inverse trig functions are given in Domain and Range of Trig and Inverse Trig Functions.

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Precalculus by Mike Weimerskirch and the University of Minnesota Board of Regents is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, except where otherwise noted.

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