Using a diagram of the unit circle and the Pythagorean Theo- rem, show that sin? 0 < (1 – cos 0)² + sin² 0 < e² Conclude that sin² 0 < 2(1 – cos 0) < 0² and use this to give an alterna- tive proof that the limit in Exercise 51 equals 0. Then give an alternative proof of the result in Exercise 54.

Using a diagram of the unit circle and the Pythagorean Theo- rem, show that sin? 0 < (1 – cos 0)² + sin² 0 < e² Conclude that sin² 0 < 2(1 – cos 0) < 0² and use this to give an alterna- tive proof that the limit in Exercise 51 equals 0. Then give an alternative proof of the result in Exercise 54.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 63RE

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