Ranges of inverse trigonometric functions Lecture 1

Ranges of inverse trigonometric functions Lecture 1

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“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)

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