ces 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 0.01 x=0.1 0.1 1 x=1 L(x) Note: f(x)=tan(x) f(x) 0001745 0017453 0174554

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
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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 0.01
x=0.1 0.1
x=1
1
L(x)
Note: f(x)=tan(x)
f(x)
0001745
0017453
10174554
Transcribed Image Text:ces 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 0.01 x=0.1 0.1 x=1 1 L(x) Note: f(x)=tan(x) f(x) 0001745 0017453 10174554
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