“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 \( \text{arccot}(x) \)

**Download GeoGebra Files Used in this Lecture**

Trigonometry Unit Circle (60 KB)

Inverse Trigonometry Ranges (20 KB)