[M] The vector space Span {1, cos? t, cos* t, cos t} contains at least two interesting functions that will be used in a later exercise: f(t) = 1– 8 cos² t + 8 cos“ t %3D g(t) = –1+ 18 cos? t – 48 cos4 t + 32 cosº t Study the graph of f for 0 < t < 2n · and guess a simple formula for f (t). Verify your conjecture by graphing the difference between 1+ f (t) and your formula for f (t) (Hopefully, you will see the constant function 1.) Repeat for g.

[M] The vector space Span {1, cos? t, cos* t, cos t} contains at least two interesting functions that will be used in a later exercise: f(t) = 1– 8 cos² t + 8 cos“ t %3D g(t) = –1+ 18 cos? t – 48 cos4 t + 32 cosº t Study the graph of f for 0 < t < 2n · and guess a simple formula for f (t). Verify your conjecture by graphing the difference between 1+ f (t) and your formula for f (t) (Hopefully, you will see the constant function 1.) Repeat for g.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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