If we represent the sum of the series by the complex exponential form show that a cos wt + acos (wt + 8) + acos (wt +28) + + acos [wt+ (n − 1)8] z = ae(1+ei+e¹²6 +...+ei(n-1)6) zz: sin²n8/2 sin² 8/2

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A: As we all know the theorem which states that, For z∈ℂ\ πℤ 1sinz=∑n=-∞∞-1nz-nπ=1z+2z∑n=1∞-1nz2-n2π2…

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Q: 2. L{sin² = nt} 7² a. S³+π²s π² b. 772 2s3-2π²s π² C. 772 2s3+2π²s π² d. S³-π²S

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Q: Find the Fourier series? 3. (Text Book Problem 7) Ax) =x-x+3, -2 s2

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