12 4. Write (cos+ i sin) [2 (cos+ i sin)]³in 17)¹² [2 (cos+ i sin)]³in polar form and then in the form a + ib.

Q: True or false: If cos A is negative, then cos (A/2) is negative as well.

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Q: What are the solutions to x³ = -4+4i in polar form? Select all correct answers. □ 32 cis (19) □…

A: The Polar form of a complex number is r(cosθ+i sinθ) where r=x2+y2 and θ=tan-1yxx3=-4+4i=32.(cos…

Q: 2. Prove that csc² cos² 0-c8c20-1

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Q: Find the product in the complex plane 1/4(cos Pi/6 +i sin pi/6) + 8 (cos pi/6 + i sin pi/6)

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Q: Write z1 and z2 in polar form. z1 =sqrt(3) + i , z2 = 1+sqrt(3)*i 1/z2 =

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Q: Let z = 4√3-4i. (a) Express in the standard polar form. (b) Express in the polar exponential form.

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Q: The complex numbers Z₁ and Z₂ are defined as follows: (cos(²T) + i sin(2)) Z₁ = ²₂ = 9 0 = 0-2π/3 a-…

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