Solve the equation Sin (20) = -'/2 /2 on the internal [o, 2) Cos 4x = cot (3x)=1 Cos 20/s =-1 %3D

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A: Here  given as Use some trigonometric formula as

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A:

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A: To find the general solution for the equation 1+sin⁡(2x)=sin⁡(x), it can use trigonometric…

Q: Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B.…

A: ∫cos3xsinxdx

Q: 4 sec(8) = find cot(0) 2

A: Use trigonometric rations

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A: See the details solution in below I am consider  sin(x^2 )

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A:

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A:

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A: Given: ∫e2xsin(2x)dx

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A:

Q: (sin-'(cos(2x) + cos-'(sin(2x).

A: Given : ddxsin-1cos2x+cos-1sin2x

Q: (a) [- 9x2 +x° cos x dx = 3

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: solve    y'''-y' = cosx

A: Given:       y'''-y'=cosx    Linear equation with constant coefficients…

Q: 3 cos° tdt 5. 1+sint

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: y''''+8y'''+32y''+64y'+39y=e^(-2x)((4-15x)cos3x-(4+15x)sin3x) Find a particular equation for:

A: The given differential equation is: y''''+8y'''+32y''+64y'+39y=e-2x ((4-15x) cos3x-(4+15x) sin3x)…

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: olve: y=ln ln [cos2(3x)]

A:

Q: Cos(pi/6)=(150-(y^2))/10800

A:

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Q: 7 (1 + sin² x) = e 2" sin 2.x, y(0) = 1 X 7) dx

A: This equation solve by separation variable

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A: We now solve the differential equation, y' -ycosx=cosx . This is a first order homogeneous equation.

Q: Find f. f"(x) = cos(x), f(0) = 1, f'(0) = 8, f"(0) = 6 f(x) = sin x + 7x/2 + 7x +8|

A: We will first find the general solution of f"'(x)=cos(x)

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A:

Q: (1+siny)[1+sin(-y)]=cos2y

A: Given: