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- hello , I am just going through homework answers my lecturer has written and have a question on the fourier series. when writing the values of an, a3 is negative. why is that ? and when he puts an into the equation he has turned sine to cosine.Please show a step-by-step solution. Do not skip steps, and explain your steps.Given the function below, f(x) = {* IProblem 4: Determine the Fourier series for the periodic function of period 2.7 defined by: f(1) = || The function has a period of 2.7 1-cos 31 NIK 0, when -< t < 0 1, when 0Needed to solved all parts of questions correctly in 30 minutes and get the thumbs up please show neat and clean workPlz answer ASAPQuestion 6. The complex Fourier series representation of a periodic function of period 2π is given by FS(t) = = ∞ n=1x Cne-int I where c = 2 + (5 – 6(−1)”)j . 2 Cn N³ Find, to three decimal places, the amplitude c and phase on for n = 1, 2. Enter the real and imaginary values of c-₁ in the appropriate boxes below. Enter |c₁| correct to 3 decimal places: Enter ₁ correct to 3 decimal places: Enter |c₂| correct to 3 decimal places: Enter 2 correct to 3 decimal places: Enter the real part of c_₁: Enter the imaginary part of c_1:Please I need a full solution(1 point) for 0 Bn sin S(7) = 0 • S(-3) = -1 S(11) = 0Solve question no. 05 and show a clear, organized and readable solution. Thanks!!!QUESTION 6 New material: Determine which terms will be present in a fourier series for the following function Hint: a sketch of the following function and whether it is odd, even or otherwise should help {! (1) = -Ft<0 0 0Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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