7T (cos+ i sin 7) in the form a + bi. 3. Write the complex number 4 (cos-

Q: - Let a1, a2,..., an be nonzero complex numbers. Find 0 0 0 0 : 0 an a1 0 0 a2 : 00 : 0 0 : ... ...…

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-10 + 10i

A: We have given  z = -10 + 10i    Now, z can written as reiθ    r =  (-10)2+ 102              [ As if…

Q: Find the quotient of the complex numbers. Leave your answer in polar form. 22 2₁ =6 cos+isin 8…

A: Kindly see attached photo for your guidance.

Q: SIMPLIFY THE FOLLOWING: 1. Determine the absolute value of -2/3 – 2i. 2. Write the complex number z…

A: (i) It is given that ;              z = -23-2i And we have to find the absolute value of z. If  z =…

Q: Re((1+i)z)=1 set an Argand diagram for complex number z

A: Given a complex number : z = x + iy We need to plot for the part : Re((1+i)z) = 1 in the Argand…

Q: 2Q Express the complex number 1+ 3i in the form x + yi, where x and y are real numbers. 1-2i

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Q: 5. (4 – 5i)(3 + 5i)

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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 the complex number in rectangular form. z = 8 cos +i sin 6 V3 1 OA. i + 4 4 B. 4/3 +4 i O C.…

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Q: O 6 (cos5+ i sin )

A: Since the complex number lies fourth quadrant So sin value negative and cos value positive

Q: Write the standard form of the complex number. (Round numerical values to four decimal places.)…

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Q: Consider the complex number z₁ = -6i. Find 2₁ = * (give your answer in the form a + bi)

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Q: 3n i Let z = V2 e 4. Write the complex number 1/z + 2° in normal form (in the form a + ib).

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