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Dtermine which of the following functions are in the linear space spanned by the set {1, cos 2x, sin 2x}. 1. cos? x 2. cos x (cos x + sin x) 3. 1+ sin? x 4. 1 + cos xX Hint: remember to look at the basic trigonometric identities.

Dtermine which of the following functions are in the linear space spanned by the set {1, cos 2x, sin 2x}. 1. cos? x 2. cos x (cos x + sin x) 3. 1+ sin? x 4. 1 + cos xX Hint: remember to look at the basic trigonometric identities.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Dtermine which of the following functions are in the linear space spanned by the set {1, cos 2x, sin 2x}. 1. cos? x 2. cos x (cos x + sin x) 3. 1+ sin? x 4. 1 + cos xX Hint: remember to look at the basic trigonometric identities.
Transcribed Image Text:Dtermine which of the following functions are in the linear space spanned by the set {1, cos 2x, sin 2x}. 1. cos? x 2. cos x (cos x + sin x) 3. 1+ sin? x 4. 1 + cos xX Hint: remember to look at the basic trigonometric identities.
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