# Ranges of inverse trigonometric functions Lecture 1

“There are two types of people who will tell you that you cannot make a difference in this world: those who are afraid to try and those who are afraid you will succeed.” —Ray Goforth

# Lecture - 1 Chapter 2 Inverse Trigonometric Functions

Topics Discussed in this lecture:
All trigonometric functions are Many – one so we have to re-define their respective mappings in order to find inverse trigonometric functions.

In this lecture, you will learn the ranges of all inverse trigonometric functions with complete explanation:

$\sin^{-1}x$ or $\arcsin(x)$
$\cos^{-1}x$ or $\arccos(x)$
$\tan^{-1}x$ or $\arctan(x)$
$\sec^{-1}x$ or $\text{arcsec}(x)$
$\cosec^{-1}x$ or $\text{arccosec}(x)$
$\cot^{-1}x$ or $\text{arccot}(x)$