6. [10] Find all complex cube roots of 27(cos 219° +i sin 219°). Leave your answers in polar form with the argument in degrees. 0 < 0 < 360° NOTE: Let w=r(cos0+ i sin 0) be a complex number, and let n22 be an integer. If w # 0, there are n distinct complex nth roots of w, given by the formula 0 360°k 0 360°k +isin] -+ where k = 0,1,2,...,n – 1. Z, = cos

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A: Proceed as shown

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Q: 5. Determine the roots of the complex numbers studied in class. z³ = 2 – 3i

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A: I have Provided this answer in step-2.

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Q: Hi, there are two questions a) and b) attached  Thanks so Much!!!!

A: Consider the given equation.

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Q: Find all the complex square roots of w= 9( cos 45° + i sin 45°). Write the roots in polar form with…

A: Let's Solve,

Q: Photo #1: Question Photo #2: Answer Key

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Q: a) Find all exact solutions on [0,2n) of 8sin?x + 6sinx + 1 = 0. b) Fine all exact solutions on [0,…

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Q: 4. Obtain all solutions of COS 2 = -i2 in C. Express your answers in the form r + iy where r, y E R.

A: Use exponential formula of cosz

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A: See solution below

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A: Solution:

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Q: 5. Find the four solutions to x = (-8+8V3 i), that is find the four forth roots of the complex %3D…

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A: (a)z=10(cos 150°+i sin 150)where r=10and θ=150*π180=56πExponential form is z=reiθz=10ei5π/6In…

Q: Compute z -20 where z is the complex number 6(cos 70° + i sin 70°). (i) 6²º(cos 40° + i sin 40°) 1…

A: To compute z-20 where z is the complex number 6cos 70°+i sin 70°.

Q: 2(2) A complex number z = v2(cos+i sin ), find In ( Z.Z' )

A: z = √2(cosπ/4 + i sinπ/4)  z = √2(1/√2 +i/√2 )  z = (1+i)  z* = 1-i