Chapter 3 – Trig Formulas and Inverse Functions

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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Trigonometry 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.