VI. Find (a) Fourier Cosine Series (b) Fourier sine Series of the following using Half-Range Expansions. (0
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- Find the Fourier series of the following functions (on [-π, π]). (1) sin²x. (2) r. Also sketch the curve of the Fourier series (on [-37, 3π]). Repeat the above problem on [-L, L].Q-3/ Find the Fourier series of the following: sinx If 0 < x < n (-sinx If TI < x < 2n f(x) = |sinx|Xx, if 05. Consider the following function : x 0 (a) Calculate the Fourier series (both sines and cosines) of f (x) over the interval [-7, 7]. (b) Sketch the periodic extension of the Fourier series.Then the coefficient of its Fourier series equalsQ1/ Find the Fourier series for the Function f(x) = 4- X2 ,When - 2Recommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,