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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Question

Use a suitable linearization to find an approximate value of – sin(36°) = – sin (=)
as follows:
(a) Explain why 30° = 1 /6 is a good tabular point;
(b) Give the equation of the tangent line at the tabular point and the value of
the approximation;
(c) Give an upper bound for the error function |E(36°)|;
(d) Show that
- sin(36°) E (-0.59068, –0.58681).

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