Find the four fourth roots of z = 256(cos4pi/3 + i sin4pi/3)    w0= w1= w2= w3=

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Q: 9. Find 14 values of S and R obtained from the difference equations: Sk41 = R, (1/cos(0.3S, )) %3D…

A: So this question is to be solved using Matlab code: I will share the input and output for this…

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Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are)

A: The posted question has multiple questions but according to guidelines we will solve the first…

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A: We have to solve Integral

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A: Find the points of intersection between r2=2cos2θ and r=21-cosθ. for the intersection points both…

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A: Using Laplace transform,

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A: Given Equation : cos3θ+sin θ3 +12 =0 Find the positive roots of the equation.

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Q: Find the product of z1 = 2 (cos 213° + i sin 213 °) and Z2 = 4 (cos 33 ° + i sin 33 °) %3D

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Q: Express the number 3√3 – 5i in the form R(cos(0) + i sin(0)) = Reiº, where R> 0 and - ≤0 ≤T. NOTE:…

A: We convert given complex number into in required form.

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A: topic - inverse trigonometric ratios

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Q: COS 10T - i sin 10TT 3 3 GT+ 3 of 學 4T COS 27 + 40 3 C1) - 1 2

A: Use trigonometric ratios

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A: r2=x2+y2 x= r cos theta y= r sin theta

Q: Find the points of intersection between r 2 = 2 cos20 and r =- %3D 1- cose

A: We have to find the intersection between r2=2cos2θ and r=21-cosθ.

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A: This question can be solved using the concept of trigonometric equations.

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A: To write in the form of a+jb

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Q: 2. Find all the solutions of 10 sin z = 9.

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Q: (b) Use de Moivre's theorem to show that sin 50 = 5 sin 0 – 20 sin 0 + 16 sin 0. Hence, solve 32x-…

A: by using demoivres theorem , show thatsin5θ=5sinθ-20sin3θ+16sin5θ Solve 32x5-40x3+10x=3

Q: cost+cos4t+cos7t / sint+sin4t+sin7t = cot4t

A: SOLUTION-

Q: find solutions of the equation in the interval [0,2pi) cos5xcos2x+sin5xsin2x=0

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Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) *

A: I have provided solution in step2.

Q: Find the four fourth roots of z= cos 4p/3 i+ sin 4p/3 . Leave your answers in trigonomet-ric form.

A: De Moivre's law: cosθ+isinθn=cos nθ+isin nθ.

Q: Find all .uons of the equation in the interval 0, 2n). cosx (2 sinx-2 )30 Write your answer in…

A: The given trigonometric equation is: cos(x) 2 sin x-2=0

Q: 2 Find the points of intersection between r=2 cos20 and r = 1- cose

A: given r2=2 cos 2θ and r=21-cosθwe need to find the intersection between two polar curves

Q: (b) Use de Moivre's theorem to show that cos 50 = 16 cos 0- 20 cos30+5cos 0. Hence, solve 32x5 40 +…

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Q: 3 2 - cos(x) e 2

A: From the given information. The function is given as follows. 32-e-x2=cosxfx=cosx+e-x2-32

Q: Show that the equation has exactly one real root. 3x + cos(x) = 0

A: Given: 3x+cosx=0 Let, fx=3x+cosx As we know that: If any function which is either strictly…

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Q: Express the number 8√3-6i in the form R(cos(0) + i sin(0)) = Re, where R> 0 and -≤ ≤T. NOTE: Round…

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Q: Find all roots of cos a- a2 - x = 0 to five décimal places.

A: In order to find roots of this equation, we plot graphs of x2+x and cos x. Intersection points of…