what is the use of  θ =  θf-θi in the formula of angular displacement/position?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 24P
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what is the use of  θ =  θf-θi in the formula of angular displacement/position?

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