Fourier sine transform of f(x) = Ο 50(1 −sin(a)) α Ο 50(1 + cos(a)) α Ο 100(1 – cos(a)) α Ο 50(1 – cos(a)) α Ο 25(1 – cos(a)) 50, 01

Q: d -1 ) Prove that cos 1(x) : dx V1-1

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Q: Prove 3sin x-45 in ³x = Sin (3x)

A: To prove that,3 sinx-4 sin3x=sin3x

Q: If e/2i -/2i = sin2 then z = - 2i In(sin2) – 4kn 2i In(sin2)+ 4kT - 2i In(sin2) + 4kTt

A: Given: e-z2i=sin2

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Q: tan(2x) = O cos(4x) – 1 sin(4x) COS O 1+ cos(4) sin(4x) O 1- cos(2) sin(2x) sin(4x) 1+ cos(4x)

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Q: Determine if the setsin² {sin²x, 1-cos(2x)} is linearly dependent or linearly independent on I =…

A: Let B={sin2x,1-cos(2x)}.

Q: sin( 2 cos (x/ 20 )) = Select one: O 2x (400 - x )°/(400 - 2x) O 40 x/ (400 + x) O ( 2x - 400 ) /…

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Q: -(sin³(x) + sin (x³) ) dx A 3sin'x + cos (x³) B 3sin?rcos(x³) + 3xr?cos(x³) © 3sin?x + cos (3x²) D…

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Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

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Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

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Q: 2sin(x)cos(x) = sin2x Is it a legitimate operation to divide all x's by 2 to get:…

A: Solution, The general formula for this trigonometric expression is -  Sin(2x)= 2sin(x)cos(x)   Here…

Q: Š 4 sin(3t) 2+ cos(3t) 7 sin(3t) + dt (2+ cos(3t))²

A: Definite integration

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Q: If g(x) = 3 sin x + 2 cos x + 5, then g' (3) = A B 12/3-√3 - 3/2+√3

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Q: Show that the equation 2x + cos(x) = 1 has exactly one root. (IVT and Rolle's Theorem)

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Q: Question 3 * Q3) Simplify (if necessary) then Compute: y¨+ 2y Where y(x) – |,raz (z'x t cosx*)|…

A: Given: To calculate  y'' + 2y' Here,  y(x) = ∂2∂x∂zz2x + coz x4 4 (cosh 2x - sinh 2x)16cos 2π xddx…

Q: 8 cos5(α)/(sin(α))1/2 dα

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Q: Question 2 Differentiate y= (3 cos x – 2 sin (2r))² A y' = [-6 cos x + 4 sin (2x)][8 cos (2x) + 6…

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Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5) (320° – sin 20 + jln5)*

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Q: 1- (sin (Cos(2x)+Cos (sinc2x)

A: Given derivative

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A: Given: At=1+sin-1 t1-cos-1 t To Find:  A't=?

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A: Given:

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Q: Solve for Fourier coefficient, {6" ax 02x2n T >x 22n sin x f (x) =

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Q: T/2 ex dx cos5 (e*)

A: Given: ∫0π2excos5exdx