This preview shows pages 1–9. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: The Inverse Trigonometric Functions Inverse Functions Let f denote a onetoone function y = f (x) . The inverse of f , denoted f1 , is a function such that f 1 ( f ( x )) = x for every x in the domain f and f ( f1 ( x )) = x for every x in the domain of f1 . The trigonometric functions are NOT onetoone. To be able to define inverse trigonometric functions, we need to start by restricting their domains. 2 2 ), sin(  = x x y To get a onetoone function, we selected an interval for x that includes 0 and over which the entire range of sine is covered. This version of the sine function has an inverse function. The Inverse Sine Function means where and y x x y y x = =   sin sin 1 2 2 1 1 ( 29 sin sin = 1 2 u u u where 2 ( 29 sin sin = 1 1 1 v v v where Characteristics of y x = sin 1 Domain of is the Range of y x y x x = =  sin sin : 1 1 1 Range of is the Domain of y x y x y = =  sin sin : 1 2 2 ) ( sin 1 x y = 2 2 ), sin(  = x x y Graphs Example = 2 3 sin of e exact valu the Find 1 y 2 2 2 3 sin 1  = 2 2 2 3 sin  = 3 = = y .....
View
Full
Document
This note was uploaded on 01/22/2011 for the course MATH 2 taught by Professor Gardner during the Fall '08 term at Irvine Valley College.
 Fall '08
 GARDNER
 Calculus, PreCalculus, Inverse Functions

Click to edit the document details