In polar form the complex number z = 3/2 + 3v2i can be expressed as (cos 45 +i sin 45 ). Let w = z3 for k = then %3D (cos +i sin ) and (cos +i sin Write your answers in degrees using the principal argument Arg(z)

Q: swer in polar form where r> 0 and

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Q: Obtain the complex number cos (1 + i).

A: See the detailed solution below.

Q: 1. z3 = 8i 2. z4 = 2 – 3i 3. z2 = sin(1 + i)

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Q: ne complex number 3 - 2i in polar form, r(cos(0) + i sin (0)), with r> 0,0 ≤ 0 ≤ 2T. elp (numbers)

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Q: 2. Write the following complex numbers in polar form. (a) 2', (b) e-. 3. Prove the = e-" where z and…

A: Given that  2) a) 2i b) e-i 4) a) z5=1 b)5z2+2z+10=0

Q: The polar form of –256 – 256V3i is 512 (cos (-) +i sin (-)) (for steps, see polar form calculator).…

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Q: Find the 4th roots of the equation below. Convert the answers to rectangular form in radians. 24 =…

A: z4=81(cosπ6+isinπ6)⇒z=81(cos(2kπ+π6)+isin(2kπ+π6)14…

Q: 3) z = sin(ej³) + sinh(5230°)

A: We have evaluate the given complex number z=sinej3+sinh5∠30°

Q: How did it became -2pi/27 from the equation (-2pi/3+2pi(0))/9? Please explain.

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Q: 2Q: Express the complex number z=- = -2/4 +7i in polar form and also represent it graphically. Hence…

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Q: 9. Prove the rule for finding the quotient of two complex numbers in polar form. Begin the proof as…

A: 9. Here, we have to prove the rule for find the quotient of two complex numbers in Polar form .

Q: For the following complex numbers z1 and zą, find z,z2 and 4 Write the number in the form a + ib. z1…

A: Polar form of a complex number Any non-zero complex number z=x+iy can be expressed as  z=rcos θ+i…