Question: Please help me out with this Linear Algebra of Function spaces problem, Thank you! Determine which of the following functions are in the linear space

Please help me out with this Linear Algebra of Function spaces problem, Thank you!

Determine which of the following functions are in the linear space spanned by the set {1, cos2x, sin2x}.

1. cos2x

2. cos(x)[cos(x)+sin(x)]

3. 1+sin2x

4. 1+cos(x)

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