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.