Relations, Functions, and Inverse Trigonometry · Algebraic Thinking

Types of Relations and Functions

Understanding equivalence relations and the necessity of bijective mappings for function inversion.

Key Questions

  1. 1Why is the concept of an equivalence relation fundamental to classifying mathematical objects?
  2. 2How does the failure of the horizontal line test impact our ability to define an inverse function?
  3. 3Under what conditions can a non-bijective function be modified to have an inverse?

CBSE Learning Outcomes

CBSE: Relations and Functions - Class 12
Class: Class 12
Subject: Mathematics
Unit: Relations, Functions, and Inverse Trigonometry
Period: Algebraic Thinking

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Inverse Trigonometric Functions

Defining principal value branches and examining the properties of inverse circular functions.

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