4: Using appropriate Fourier series, Show that 4 -cos x=-sin 2x+sin 4x + 15 2 6. sin 6x+..... 35 4 3

Q: cosh 1+j T 2 * T sin 1-j- 2

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Q: Prove that (1+i)" +1(1-i)" = 2 cos %3D

A: We will solve the following

Q: (a) [(0.6e15 + 4t 3t² +03-10-01 at 4t4-3t3 + 0.3 _10t 1.5 -0.1 2t3 (b) Evaluate…

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Q: Apply Maclaurln's Serles to Show (-1)*-1,2=-2) 2(n – 1)1 cos X=

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Q: substitution. Sketch and label the associated dr 1. Í -2 sine

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Q: a 1 - x²) cos(nx) dx F(x 一九 4 sin(nл) — 4nл соs(nл) — 2n²л² sin(n) πη3

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Q: + tan dy 37 Ify = tan -1 -1 1 2 x +5x+7 1 2 1 2 1 2 x² + x + 1 +... to n term.

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Q: 1-sinx cosx 2. a) Show 6) Prove 3sino – 4sin0 = sin(30) cosx 1+sinx

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Q: Show that for x > 0, sin ¹x+cos -1 X = FIN 2

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Q: Prove 9 coshx – 5 sinhx = 15

A: This is hyperbolic function equation so we want to find x value by thi equation so. firstly, we…

Q: 7) (1- cos20)(1+ cos²0) = 2sin20 - sin*e %3D

A: We have to show the condition

Q: 18 a Show that / (1 + sin 2zx)dx = n, for all positive integers n. b Sketch y = 1 + sin 27x, and…

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Q: [(1-sin' 3t)-cos3t dt

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Q: Prove the identity. sin(3x) + sin(4y) = tan (3x + 4y) cos(3x) + cos(4y) 2 Use the Sum-to-Product…

A: We need to prove the following:   sin3x+sin4ycos3x+cos4y = tan3x+4y2   Formula Used: sinA+sinB =…

Q: sin2xdx 1) S7 o sin+x+cos4x

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Q: e' [ S (5² +a²) 2 ] = t sinat 2a 7 Prove using Convolution

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Q: Show that cos 2x-cos 6x sin 6x-sin 2x b) Hence or otherwise, solve = tan 4x cos 4x cos 2x-cos 4x cos…

A: Hence proved

Q: 7)Use Taylor theorem to estimate cos(0.23) with Jerror|< 10-2

A: Here we are to estimate cosx at x=0.23=23100 with error≤10-2,using Taylor theorem i.e, using Taylor…

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Q: which of these possible solutions for cos^2x +n sin^2x - 1 = 0 in the interval x R [0,2pi]

A: This question is based on Trigonometric equation.

Q: 3. S sin³ 0 cos³ 0 d0

A: Given

Q: do Evaluate the intergal using the 12 + 8 sin 0 residue theorem.

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: @H-w/ prove that cosiz=coshz

A: We have to prove by using cosiz and coshz formulae.

Q: sin -1

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: (8) If fCx) = 3x*- +4X +1, Sind

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Q: 71. Use Figure 4 to prove V1- 12 d /1 – x2 + sinx FIGURE 4

A: Let A be a point on a circle of unit radius(r=1) with origin as its center, such that: Calculate…

Q: Q4) Considering fanction of fla)=x, & -ncacrR a) Is this function odd or even b)epand fantion sine…

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Q: 2 sin 0 + sin 2 0 =0 with 0degrees

A: To solve:2sin0+sin20=0

Q: (3* rc* cos(a/180* 3.14) /L+9* db* cos(a/180* 3.14) *cos(a/180* 3.14)/(sin(a/180* 3.14) *LL*LL)) *EI…

A: Given: LL=3.9, a=35, q=8.1, rc=0.7827, EI=180.5, L=3.6, db=0.0084 To Find: To evaluate the following…

Q: 2T d) f(x)=5 sin (x+1)+2 e) f(x) = -2 cos 2(x+ 1) + 1_ 17. Find the rule of the sinusoi

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