Find the Maclaurin series for sin $x$ and prove that it represents sin $x$ for all $x$

Q: Use the sum identity below to determine the exact value of tan(285°). A √√3+3 √3-3 B √3-3 √3+3 C…

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Q: (b) Prove that the Fourier series for f(x) is: 1 f(x) = ²0 (si -20 (sinx + sin3x +sin5x + ...) TU

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Q: A Fourier series is an infinite series given by Cn sin(nx) n=1 where Cn is called the coefficients…

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Q: Expand if-7 << 0. if 0 7 くT. in a Fourier series.

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: 10. Let f be a continuous function with period 27. If f is an even function (that is, ƒ(x) = f(−x)…

A: The function  is continuous  with period and  is even that is Given  Claim:  for every .

Q: Find the ratio of similarityr for a similarity a such that a ([2]) = [8] and a ([3]) = [³].

A: Given:  such that  and .To find the ratio of similarity .Concepts used:Consider a transformation  of…

Q: the periodic decimal 0.110110110110110...(continuing on in this pattern forever) as a ratio of two…

A: Given, the periodic decimal                                0.110110110110110...

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x)=9 sin 3x What is…

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Q: a) Differentiate, if possible, the Fourier series of the following function: f(x) = { + ¯ 1 < x < 0…

A: Fourier Series Coefficients:The given function is defined over the interval −1&lt;x&lt;1 son , L=1.…

Q: Let f(8) = 202, 0<0 < 5 ; f(8) = f(8 + 5). %3D a) Find the Fourier coefficients; and b) hence…

A: Given function is           f(θ)=2θ2, 0&lt;θ&lt;52l=5,   l=52 Also…