suppose that cosx<=1 for all x>=0.Combine this with the first fundamental theorem of calculus to prove sinx<=x ,1-cosx<=x^2/2 for all x>=0.USe the same idea to prove x-sinx<=x^3/6 &x-x^3/6<=sinx<=x for all x>=0
suppose that cosx<=1 for all x>=0.Combine this with the first fundamental theorem of calculus to prove sinx<=x ,1-cosx<=x^2/2 for all x>=0.USe the same idea to prove x-sinx<=x^3/6 &x-x^3/6<=sinx<=x for all x>=0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 21E
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suppose that cosx<=1 for all x>=0.Combine this with the first fundamental theorem of calculus to prove sinx<=x ,1-cosx<=x^2/2 for all x>=0.USe the same idea to prove x-sinx<=x^3/6 &x-x^3/6<=sinx<=x for all x>=0
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