The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable choice of "u" and "du" and appropriate mathematical techniques so that it will be ready to integrate. A udu 12 ® Ssinlu)du 뉴/ 12 © Scos(u)du O Sudu 0 를/anlulau E sin(u) ④ 효/ Scoslujau

Q: θ = cos^-1[sin(LT1) sin(LT2) + cos(LT1) cos(LT2) cos(LN1 − LN2)] How does this formula go with…

A: Consider the figure as our Earth. O is the center of the earth Point P on the earth surface has…

Q: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

Q: fOo)=Sinx-41 Cos x 1X-1 cos X (x)

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Q: sinx + sinx CScx + 1 CScx - 1

A: Use following trigonometric identities  1. cscx = 1sinx 2.(csc2x - cot2x) =1

Q: Write an algebraic formula for sin[(sin^-1(u)-cos^-1 (v)]

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Q: 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or…

A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: Derive the following: a.) xy^2 + xtany = ysinx

A: Given equation is: xy2+x tan y=y sin x We have to find dydx.

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: Solve the following algebraically:  a) tan (theta)+cos(theta)/1+sin(theta)=sec (theta) b)…

A: a) Here we have to show that  tanθ+cosθ/1+sinθ=secθ Now here we use the formula tan(θ)=sin(θ)cos(θ)…

Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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

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Q: integrate sin2x/sin5x.sin3x

A: To integrate: ∫sin2xsin5xsin3xdx Solution: We know, sin(A-B)=sinAcosB-cosAsinB    ...(1)…

Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: cscx−sinx cos²x CSC X =

A: We need to prove that cscx-sinxcscx=cos2x

Q: Evaluate e^(z^2) if z = x+yi Select the correct response: e^(x^2+y^2) [(cos 2xy) - i sin 2xy)] none…

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Q: f(x)=2cos^2 x-1 , 1-2sin^2 x , cos^2 x-sin^2 x and cos2x Make a comparison of the four expressions

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Q: 1. dy = %3D COSX cotytanx Cosy dr

A: Given- dy=1cotytanx-cosxcosydx To solve the given differential equation. Here we will arrange the…

Q: Differentiate: x¹0 cos(x)

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Q: Use the cofunction identities to select the correct answer which fills in the blank. cos(10x) = sin_…

A: We know that, sin(90°+x) = cos(x) sin(90°-x) = cos(x)