Question: The vector space H = Span {1, cos2 t, cos4 t, cos6 t} contains at least two interesting functions that will be used in a

The vector space H = Span {1, cos2 t, cos4 t, cos6 t} contains at least two interesting functions that will be used in a later exercise:

Study the graph of f for 0 ( t ( 2(, and guess a simple formula for f(t). Verify your conjecture by graphing the dif between 1 C f(t) and your formula for f(t). (Hopefully, you will see the constant function 1.) Repeat for g.

f(t ) = 1-8 + 8 cos g) 18 cos21 48 costt 32 cos t cos- t

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