Prove the fourier series expansion, Mechanical Engineering

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(a) Prove that the fourier series expansion for the function x(t) described in the finite interval -π ≤ t≤ π

x(t) = 0 -π ≤ t ≤ 0

x(t) = sint 0 ≤ t ≤ π

1382_Fourier series expansion.png

(b) Represent the following complex numbers in rectangular form:

i) 9 e j0.3 ii) 5 e j2.1 iii) 14 e -j2.8 iv) 10 e -j1.1


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