What is the integrable form of sin e) de? sin (A du 2 cos(u)du (©) -2 © -2/sin(u) du D) | - u² du

Q: trace the equation in 3 -dimension

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Q: Prove that sin(x + y) sin(x − y) = sin²x − sin²y. -

A: Formula's

Q: Prove that x2 cos x dx = T(2 – n) (+ sin æ)?

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: Give an example of a value of z such that the equation sin(x ) = z is unsolvable.

A: We have to give an example of a value of z such that the equation sinx=z is unsolvable.

Q: Sin 0/1 + co² B) 2.

A: sinθ1+cot2θ                             =sinθ1+cos2θsin2θ…

Q: sin( – x) = cos x = COS X

A: Given: To prove that sin(π2-x)=cos x

Q: (sin 5x + cos 5x)

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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: Question 3 x+6 is divided by x-1 4x+24 The restrictions on X, when can be written in the form 2x2…

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Q: What is the dependent variable in the equation dr + (2rcot0+ sin 20) d0 = 0?

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Q: sketch the graph of the function Qu, y= 3 sin tx -1

A: Given function is  y= 3sin(x/2)-1

Q: Transform r = 12 sin 0 into rectangular form.

A: Given r= 12 sinθ

Q: Verify the identity (sin θ + cos θ)2 + (sin θ - cos θ)2 = 2.

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Q: Prove that i2-i0 e-e %3D sincd

A: We have to prove eiθ-e-iθsin θ=2i Now, sin x can be expressed in exponential form as sin…

Q: Verify the identity sin t - cos 2t = (2 sin t - 1)(sin t + 1).

A: sin t - cos 2t=(2sin t-1)(sin t +1)Formulascos 2t= 1-2sin2t

Q: Construct an equation such that y = = C1e3z cos x + C2e3ª sin x is its general solution.

A: To determine the differential equation from the solution  Check the number of constant in the…

Q: x sin 2x sin COSX 8. Prove that: %3D 2x-7

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Q: lim ze = -9 cos 3 + i9 sin 3. %3D Select one: O True O False

A: The statement is TRUE  The detailed solution is as follows below:

Q: (1 point) Check by differentiation that y = 3 cos 2t + 3 sin 2t is a solution to y" + 4y = 0 by…

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Q: FIX) = sin(x+ cos x) -0.5=0 Find F(X), F(x)

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Q: Verify that sin u − u cos u + C =∫u sin u du. Use FIRST part to show that      ∫π0 sin√x dx = 2π.

A: Our aim is to verify that ∫u sinu du=sin u-cos u+C. Using this integral to find the value of…

Q: 2Tt Prove that a" sinax cos bx dx = 0 0.

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