tailieunhanh - Lecture Mathematics 53: Lecture 5.3 - UP Diliman

Lecture Mathematics 53 - Lecture provides knowledge of the inverse circular functions. The main contents of this chapter include all of the following: Inverse circular functions, derivatives of inverse circular functions, integrals yielding the inverse circular functions. | Inverse Circular Functions Mathematics 53 Institute of Mathematics UP Diliman Instituteof Mathematics UP Diliman Inverse Circular Functions Mathematics 53 1 31 For today F Inverse Circular Functions Derivatives of Inverse Circular Functions Integrals Yielding the Inverse Circular Functions Instituteof Mathematics UP Diliman Inverse Circular Functions Mathematics 53 2 31 Note that the circular functions are not one-to-one. In order to define the inverse of each circular function we restrict its domain to a set over which it is one-to-one 2 and its range remains the same. Definition 1 The inverse sine function denoted sin 1 is defined as follows . -1 p pl y sin 1 x if and only if x sin y y 2 - - . 2 The inverse cosine function denoted cos 1 is defined as follows y cos 1 x if and only if x cos y y 2 0 p . Instituteof Mathematics UP Diliman Inverse Circular Functions Mathematics 53 4 .