Using Fourier Series D (1) Sin (wot) 2 Siu (wot) Cos(wot) Find

Q: cos(2 tan−1(x))

A: Given,

Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where…

Q: sin (7π/6) + cos (3π/2)

A: Given,

Q: (x, b. Find the Fourier sine series for this function: f(x) = 0 < x < T/2 0, <x< n and sketch odd…

A:

Q: sin(2w)dw =

A:

Q: S sine sin (cose) de A. cos (cose) –cos³(cose) -cos B. cos (cose) + cos (cose) +cos (cose) + C C.…

A: Solving the problem by finding the derivative.

Q: sin 2x V2 – cos 2x dx

A:

Q: Sin(2x)Cos(nx) da

A: Law :  2sinAcosB = sin(A+B) + sin(A-B)

Q: |12 sin(4x) cot(cos(4x)) dx

A:

Q: (g) sin 3

A: To find the value of

Q: Use Fourier Analysis identity to prove ** sin sin(mx) cos(nx) dx = 0.

A: To prove:  ∫-ππsinmxcosnxdx=0

Q: sin(7x 2) dx cos2 (7x 2)

A: Let u=cos(7x+2)differentiate both sides w.r.t. x.Use chain rule for cos(7x+2)From there we get du/-7…

Q: Differentiate. H(t) = cos2(t)

A: answer = -2sin2t   explanation is given in the below step

Q: S sin(1 – 2x)sin(2x + 3)dx

A:

Q: sin(3t)dt

A:

Q: sin (z+27) =

A:

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

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Q: Differentiate. f(0) = 0 cos(0) sin(0)

A:

Q: (b) cos³ (2t) sin¯4 (2t) dt

A:

Q: 2-Find L(e-3tsin2t)

A: Given function is, f(t)=12e-3tsin2t Now, from the property of Laplace transformation we get, L(…

Q: Question 3. (2) Using (2), evaluate For this question you can use the standard result: 2 3 uz du [ =…

A: