Please help me out with this Linear Algebra of Function spaces problem Thank you!Determine which of the

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 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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