We look at the inner product space of continuous functions above [0,1]. a) Calculate the angle...

We look at the inner product space of continuous functions above [0,1].
a) Calculate the angle between x and cosx ; x and sinx. Which angle is the smallest?
b) Calculate the distance between x and cosx ; x and sinx. What distance is the shortest? Hint: Remember that the distance between two vectors f and g is the length of f − g.
c) Sketch x, cosx and sinx in the interval [0,1]. Give a geometric explanation of the numerical values found in parts a) –b)

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Colby Messinger answered 3 hours ago

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