Q/Determine the Fourier series of the periodic function whose definitions in one period is? (4) Cos (enti) t

Q: ·S Evaluate cos x sin³ x dx. + C

A: To evaluate the following integral.

Q: 5. Consider the following function : x 0 (a) Calculate the Fourier series (both sines and cosines)…

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Q: In order to perhaps use a substitution, rewrite tan(5x + 8) in terms of sine and cosine. tan(5x +…

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Q: Q3. (a) Write down the function corresponding to the graph given below. Is the function even or odd…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. If the…

Q: Find the Fourier series representation of the periodic function f(x) = cx? - d if -n « x < T if c =…

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Q: tan (15π/4)

A: To evaluate: tan15π4 Solution: Evaluating the value of tan15π4. tan15π4=tan4π-π4=-tanπ4…

Q: Find the Fourier series representation of the periodic function below if c = -6 and d = 26. Then,…

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Q: cos(sin (0.685)) = O -0.2715 O 2.7285 O 1.7285 O -1.2715 O 0.7285

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Q: Determine the Fourier Series of f(x)= { = *R 0<x<T π < x < 2π Interval: 0<x<2*

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Q: Express sin 20 in terms of x, where x = sin 0. A. sin20 = sin? 0 = x² 2x(1– x² )² C.sin20 =…

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Q: Verify the identity sinh x + cosh x = ex

A: To prove the identity

Q: Verify the identity sec-1 x = cos-1(1/x), for x ≠ 0.

A: According to the question, we have to verify the identity sec-1x=cos-11x. As the above function is…

Q: Find the Fourier series of the function f(x) f(x)=x+|x|        (-π<x<π) i- Tell the function…

A: Given: The given function f(x)=x+x ,(-π&lt;x&lt;π)

Q: What is the cosine, sine and Fourier series of 1+cos^2(x) on [0, pi)?

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Q: The value of i log (x -i) + i? n + i³ log (x + i) + i* (2 tan-'x) where x > 0 and i = Fis

A: Introduction :

Q: ۔ (6) گا X 21 if 04x42 if 24x<3 extension of f with its puried and sketch the gropl a) Find the even…

A: in this problem we use some formula for finding the coefficients of  Fourier series .

Q: Simplify tan(A+ arcsin?). O (2V13)/13 (3 V5)/5 (2 V5)/5

A: Given query is to simplify the expression.

Q: Q5/ Find Fourier series of the Function: f(x) = x if (–n < x < n) %3D

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Q: Compute the Fourier sine series of S 1, 0<x < 1, ={2, 1sx<2, 2, 1<x < 2, on [0, 2]. Sketch both the…

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Q: Express sinh (i) in the form a + ib

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Q: Evaluate lim i+ cos rj sin (at)

A: Follow the procedure given below.

Q: do sin 0 – cos 0 cos 0

A: The given integral is ∫dθsinθ-cosθ

Q: Evaluate

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Q: - In-2. Hence show that In = 01 tan" x dx = n - 1

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Q: find the Fourier series for the following function F (t) = t 0<t<2 2<t<4

A: Given: The given Fourier series of the following function is Ft=t,0&lt;t&lt;20,2&lt;t&lt;4. To find:…

Q: eftan tan ¹2 (x) sec² (x) dx we make the substitution To evaluate

A: We can find the required substitution in the below steps.

Q: (a) Define Fourier series. The function x³ is periodic with period 2/ on the interval [1,-1]. Find…

A: To define: Fourier series. To find: Fourier series of the given function.

Q: cos(sin (0.4252)) : O 1.9051 O 0.9051 O -0.0949 O -1.0949 O 2.9051

A: sin^-1(0.4252)=0.43918284434 that is cos(0.43918284434) =0.90509941995