Find all the complex square roots of w = 9( cos 45° + i sin 45°). Write the roots in polar form with 0 in degrees. COS Zo = 3 cos 23° + i sin 23 °) (Type answers in degrees. Round to the nearest integer.) z =0(cos+ i sin) (Type answers in degrees. Round to the nearest integer.)

Q: Find all the complex roots of 125(cos 165° + i sin 165°). Write roots in polar form with θ in…

A: Given: The complex number 125(cos 165° + i sin 165°).

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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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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…

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A: the givn complex numbers are: z1=6(cos20°+isin20°)z2=5(cos50°+isin50°)

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A: Given: z1=2+2i , z2=1+i To determine: z1z2. Also, to write answer in polar form.

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A: Given: 125cos165°+isin165°

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Q: 6(cos120deg +i sin120deg) x 4(cos30deg +i sin30deg)

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

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A: Given complex numbers - z1 = 4cos50°+isin50°                ..........................(1)z2 =…

Q: Express the given complex number in rectangular form (a + ib). 1. cos + i sin cOs + i sin

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

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

Q: he following  complex numbers in their rectangular form

A: Given,              logZ1Z3Z2 Where in Z1=2+4i, Z2 = 5e2i and Z3 = 4 cos 40°

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: Consider the given: z1=cos80°+isin80°z2=cos200°+isin200°

Q: Express the complex number -3i in the form R(cos(0) + i sin(0)) = Ree where R> 0 and 0 ≤ 0 ≤ 2.…

A: The given complex number is -3i

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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Q: If Z₁=14+7i and Z2=3+17i, determine the imaginary part the complex number: Z₂ Give your answer to…

A: Given :Z1=14+7iZ2=3+17i

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A: We want to convert the given complex number in to  rectangular form  Z=a+ib

Q: Write the complex number z=-4+2i in trigonometric form (sometimes called polar form). Express the…

A: Given a complex number: Now,

Q: Find the quotient z1/z2 of the complex numbers z1 = cos 70° + i sin 70° andz2 = cos 230° + i sin…

A: The two complex numbers are given as , z1=cos70°+isin70° z2=cos230°+isin230° The value of z1z2 can…

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 quotient z1/z2 of the complex numbers.Leave answers in polar form. z1 = 10(cos 10° + i sin…

A: We have given complex numbers z1 = 10(cos 10∘ + i sin 10∘)z2= 5(cos 5∘ + i sin 5∘) We have to find…

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

Q: Find all the complex fourth roots of 16(cos 120° + i sin 120°). Write roots in polar form, with θ in…

A: z=16cos120°+isin120°

Q: Find the product of the complex numbers z1 = 3(cos 40° + i sin 40°) and z2 = 5(cos 70° + i sin 70°).…

A: Given complex numbers - z1 = 3cos40+isin40           ................(1)z2 = 5cos70+isin70…

Q: Express the complex number z = - 1 - (square root 3)i in polar form: Z = r ( cos ( θ ) + i sin ( θ )…

A: Explained below

Q: Find the product of the complex numbers z1 = 6(cos 40° + i sin 40°) and z2 = 5(cos 20° + i sin 20°).…

A: Given  z1 =6cos 40° + i sin 40° z2 =5cos 20° + i sin 20°

Q: Write the given complex number in polar form and in then in the form a + ib. You may use the De…

A: By Euler's formula we have eix=cos x+i sin x. Using eixn=einx we get the De Moivre's formula cos x+i…

Q: Find three cube roots for the complex number. Leave your answers in trigonometric form. - 323 - 32i…

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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A: Solution:- Complex root of w=81cos 30°+i sin 30°   wn=rcos θ+i sin θ wk=xr cosθ+2πkn +i sin θ+2πkn…

Q: Find all the complex fourth roots in rectangular form of w=16(cos 5pi/6 + i sin 5pi/6)

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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: Find all cube roots of the complex number 64(cos (219°) + i sin (219°). Leave answers in polar form…

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Q: Write the complex number z =1-2i in trigonometric form (sometimes called polar form). Express the…

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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 0…

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Q: Write the given complex number in polar form and in then in the form a + ib. You may use the De…

A:

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: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: the given complex number are: z1=cos 70°+i sin 70°z2=cos 230°+i sin 230° we have to find the…

Q: Find the quotient z1/z2 of the complex numbers. Leave the answer in polar form with the argument…

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