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The space is $C[0,2 \pi]$ with the inner product $(6)$.Find the third-order Fourier approximation to $f(t)=$ $2 \pi-t .$

$\pi+2 \sin t+\sin 2 t+\frac{2}{3} \sin 3 t$

Calculus 3

Chapter 6

Orthogonality and Least Square

Section 8

Applications of Inner Product Spaces

Vectors

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from example for we know that the four year approximation off T is given by buying minus twice. Scientist E minus. Sign to teen Minus all the way to mind a study. Very bad, man. Sign off. It's a mistake. This is Sign off, aunty. Okay, so we're looking for the third or the approximation of team minus one and of course, is just by minus one for the constant term. There we have minus twice. Scientist E minus, sign to T and minus two, divided by three sign three t.

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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