Prove that for all real x and y (a) | cos x – cos y| < |x – yl. (b) | sin x – sin yl < |x – yl.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Prove that for all real x and y
(a) | cos x – cos y| < |x – yl.
(b) | sin x – sin yl < |x – yl.
Transcribed Image Text:Prove that for all real x and y (a) | cos x – cos y| < |x – yl. (b) | sin x – sin yl < |x – yl.
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