The complex numbers ₁ and ₂ are defined as follows: 21 = 3(cos()+isin()) 22 = 5(cos()+isin() Calculate ₁ x Z₂ in polar form, where z = |z|(cos(0) +isin (0)) |2| 0 = O-π/2 Calculate z in rectangular form, where z = a + bi a b On/4 Check 03π/4 On/2 Оп 5 O-T

Q: -4/2 – 4V2i Express the complex number z = in polar formr cis 0.

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Q: Find the produCtI' 22 n polar form, Wnerezi and 2 are BIVEN below. 21 = 4(cos(61"+i sin(61") 22 = 5…

A: According to Euler's identity, r ( cos x + i sin x) = r eix

Q: 5) Given cose = 1/2, determine cos $2 a) H H

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: et z = 4 + 4√√/3i.. (a) Graph z in the complex plane. Im 8 6 4 2 Im 3.5 3.0 2.5 2.0 1.5 1.0 0.5 2 4…

A: The objective is to solve the above question.

Q: 17. y" + 3y" + 3y + y = 0, y(0) = 0, y'(0) = 1, y" (0) = 0

A: When the roots of  auxiliary equation are same:

Q: (-1+√3i)* late Z in polar form, where Z = |Z| (cos(8) + i sin (0) ) solution including 2 decimal…

A: For a complex number  argument  and modulus Also note the following peroperty of complex number  for…

Q: 1. Martha makes an error converting the complex number -5/3 + 5i to polar form. Where did she make…

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Q: a) Simplify the following expressions in standard form. (i) (5i"+6i° +2i?–3i*)+(-4+7i) 7-4i (ii) 2–…

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Q: Evaluate [(cos² 0 + 2 csc² 0 + sin²0) do. (a) 0 + 2 cot 0 +C (b) 0 2 cot 0 + C - (c) sin²0 + 2 cot 0…

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Q: The complex numbers Z is defined as follows: Z = (4-4)² Calculate Z in polar form, where Z = |Z|…

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Q: 4) z = (4 + j3)sinh(3+j)+cos(3-j2)

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Q: The complex numbers Z₁ and Z₂ are defined as follows: = 4 (cos(²T) + i sin(²) ²₁ Z₂ Calculate = 8…

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Q: (b) –8/2 +8V21 | (X The polar form is | 18 cos + i sin 4 4 Give an exact answer.

A: Here we will find the polar form of given complex number,