Find the linear approximation at x = 0 to show that the following commonly used approximations are valid for "small" x. Compare the approximate and exact values for x = 0.01, x = 0.1, and x = 1. Round your calculations to seven decimal places if needed. tan(x)=x x 0.01 x = 0.1 x=1 L(x) Note: f(x)=tan(x) f(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Find the linear approximation at x = 0 to show that the following commonly used approximations are
valid for "small" x. Compare the approximate and exact values for x = 0.01, x = 0.1, and x = 1. Round
your calculations to seven decimal places if needed.
tan(x)=x
x
0.01
x = 0.1
x = 1
L(x)
Note: f(x)=tan(x)
f(x)
Transcribed Image Text:Find the linear approximation at x = 0 to show that the following commonly used approximations are valid for "small" x. Compare the approximate and exact values for x = 0.01, x = 0.1, and x = 1. Round your calculations to seven decimal places if needed. tan(x)=x x 0.01 x = 0.1 x = 1 L(x) Note: f(x)=tan(x) f(x)
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