Find all the complex square roots of w= 81(cos 30° + i sin 30°). Write the roots in polar form with 0 in degrees. Zo =Lcos +i sin !! (Type answers in degrees. Round to the nearest integer.) + i sin ) %3D CoS (Type answers in degrees. Round to the nearest integer.)

Q: z1 = 2 + 4i Z2 = 5e2i Z3 = 4 cis 40°

A: The polar form of a complex number is z=rcosθ+isinθ and the rectangular form of the complex number…

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Q: Find all the complex square roots of w 64(cos 30+ i sin 30"). Write the roots in polar form with 0…

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A: The polar form of the complex number is given as 14.7cos 5π6+i sin 5π6 The polar form of the complex…

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A: Put x=r cosθ   and   y= r sinθ

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A: Given Z=-322(-1+i) Zk=rncosθ+2πkn+sinθ+2πkn, 0≤θ<2π The trigonometric form of the complex number…

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A: Given two complex numbers, z1=12cos13π8+ι sin13π8 and z2=2cos11π8+ι sin11π8 We have to express  z1z2…

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Q: Find all the complex roots. Write roots in polar form with θ in degrees. The complex square roots of…

A: Find all the complex roots. Write roots in polar form with θ in degrees. The complex square roots of…

Q: The complex cube roots of 125(cos 165° + i sin 165°).Find all the complex roots. Write roots in…

A: Given: 125cos165°+isin165°

Q: d all the complex square roots of w = 4( cos 45° + i sin 45°). Write the roots in polar form with 0…

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Q: B. Find the indicated powers of the given complex number. Express the result in polar form, then…

A: We have to find   -3 + 3i31  and express this result in polar and rectangular form.

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Q: Given a complex number w =. TM UTM UT iv3) by giving your answers in i. Express w in polar UT4 ii.…

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Q: Make this compley number in polar Form: Z - 5 +V4 i 5-6i

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Q: 4. Use DeMoivre's Theorem to find the power of the complex number [4 (cos 50 ° + i sin 50°) ]3

A: Use demovirs theorem

Q: Find all cube roots of the complex number. Leave answers in trigonometric form. - 125 i O A. 5 cis…

A: First, we convert it to the polar form

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A: we have to find the complex numbers. z1=3cos5π8+isin5π8z2=10cos5π16+isinπ16

Q: Find all the complex cube roots of w = 64(cos 210° + i sin 210°). Write the roots in polar form with…

A: De Moivre's Theorem- If rcosθ+i sinθ is a complex number, then rcosθ+i sinθn=rn cos nθ+i sin nθ or r…

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Q: Find all the complex fourth roots in rectangular form of w = 64 cos +i sin %3D (Type your answer in…

A: To find the fourth root of the given complex number.

Q: Give the solutions of the complex equation –3z°(1 + i) = z(1 – i) in trigonometric for

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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…

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A: Given :Z1=14+7iZ2=3+17i

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A: r(cos x + i sin x)= r eix

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: Find all the complex fourth roots in rectangular form of w = 100 cos 57 - + i sin Zo (Type your…

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Q: find the trigometric form of the given complex number.  Then find the fourth power of z1 z1=-1+i

A: Given : z1 = -1 + i   .....(1)   comparing of this equation, a+bi from (1),                a = -1 ,…

Q: Find the roots of the given complex number 1. z^5 = 4i

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Q: Find the complex cube roots of 1+i, leave your answer in polar form with the argument in degrees.

A: Consider the complex number  To find - complex cube root of z

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Q: Find the indicated powers of the given complex number. Express the result in polar form, then…

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Q: Find all the complex cube roots of w = 8( cos 240° + i sin 240°). Write the roots in polar form with…

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A: We know that a complex number x+iy can be expressed in polar form as reiθ, where r=x2+y2 and…

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Q: Find all the complex cube roots of 27(cos 306° + i sin 306°). Write roots in polar form with θ in…

A: z=27cos306°+isin306° Raising power 13 on both sides, we get…

Q: Z1 = 2 + 4i Z2 = 5e2i %3D Z3 = 4 cis 40°

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Q: Find the complex fifth roots of 32(cos 5π/3 + i sin 5π/3). Write roots in rectangular form. If…

A: Given: z=32cos5π3+i sin5π3.

Q: b) Find the cube roots of 27%. Leave your answer in polar form. c) Let z3 = 1+√√3i. Write z3 in…

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