L(e-3t (2 cos 5t-3 sin 5t)) 20

Q: 2. 4y+12y+10y=16x-50 cos 2.x

A: Solution to the differential equation using short cut formula method.

Q: 7x Cos + COS cos 2.

A: According to trignometry formula:cos a +cos b =2cosa+b2 cosa-b2Given,cosx2+ cos7x2a=x2; b=7x2

Q: olve the equation 5 cos? x + sin? x = 3 sin 2x for 0 <x < 27

A: In this question, the concept of a trigonometric function is applied. Trigonometric Function The…

Q: Solve for [0,2]. sin(3) COS -2 2.

A: We use the double angle formula to write the given function in sin function.

Q: (cos(80) + i sin(80)) 2.

A:

Q: Sin 0/1 + co² B) 2.

A: sinθ1+cot2θ                             =sinθ1+cos2θsin2θ…

Q: y=2 cos 0+1

A:

Q: . Solve for x: 2 cos x + sin x = 2, 0<x < 27.

A:

Q: 5.) Scesin 2 sinl 3x) - 5 cos ( 2x))·dx

A:

Q: (4) = - V2 -1 cos 4

A: Given,            cos-122=-π4

Q: 2 sin-√3 = 0, [0°, 360°) 2

A:

Q: a cos(x²)esin(z²) da -ут 10. TT

A: To find the integral.

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

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

Q: ∫0π/2[√(cos5t) sin5tdt] Hint: intergration by substitution

A: Rewrite the equation Apply substitution u=√(cos5t)

Q: -5 sin x = -2 cos2 x + 4

A:

Q: 0 1 (b) sin 3

A: To determine the value of the theta.

Q: ∫0pi cos2t*cos4t dt

A: