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

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°).

Q: Write the complex number 0.6(cos 100° + i sin 100°)in rectangular form. If necessary, round to the…

A: The given complex number is 0.6cos100°+isin100°.

Q: Write the complex number given in trig form into a standard rectangular form. 9 (cos180°+sin180° i)…

A: To solve this problem you have to put the values of cos180° = -1 and sin180° = 0.

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [4(cos 15° + i sin 15°)]3.…

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Q: Find the complex fifth roots of -1 + i. Write roots in rectangular form. If necessary, round to the…

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Q: Write the complex number 5(cos π/2 + i sin π/2) in rectangular form. If necessary, round to the…

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Q: Write the complex number in polar form with argument 0 between 0 and 2r. 5 + 5/3i () 101 cos + i sin…

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Q: Convert the complex number to rectangular form. 8( cos 1 +i sin 1-π) 6

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Q: Write the complex number 4(cos 210° + i sin 210°) in rectangular form. If necessary, round to the…

A: Given that: The complex number 4(cos 2100 + i sin 2100) To write the given complex number in…

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: given equation of a complex number as 6+8i. find the equation in polr form

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Q: Determine the indicated roots of the given complex number. When it is possible, write the roots in…

A: Here we have to find the three roots of gicen complex number.

Q: Write the complex number in polar form with argument 0 between 0 and 2. 8i(1 + i) 4 cos +i sin

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Q: Write the complex number in trigonometric form r(cos 0 + i sin 0), with 0 in the interval [0°,360°,

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Q: determine the indicated roots of the given complex number.   (2(cos π/3 + i sin π/3))1/2

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Q: Write the complex number 4(cos 5π/6 + i sin 5π/6) in rectangular form. If necessary, round to the…

A: 4cos5π6+i·sin5π6

Q: Write the complex number 8(cos 60° + i sin 60°)in rectangular form. If necessary, round to the…

A: 8cos60°+isin60°

Q: E = [tan(1 – i)]j[cot(1+i)]

A: Given E=tan(1-i)cot(1+i) Since we know the formula tan(ix)-itanh(x) and cot(ix))=-icoth(x)

Q: Write the complex number 6(cos 30° + i sin 30°) in rectangular form. If necessary, round to the…

A: Given:  6cos30°+isin30°sin30°=12cos30°=32

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

A: To find the complex square root for 9cos30°+isin30° Solution: the complex nth root of complex…

Q: The complex square roots of 49(cos 50° + i sin 50°).Find all the complex roots. Write roots in polar…

A: Given, 49(cos50°+2kπ + i sin50°+2kπ ) We can write, 49(cos50°+2kπ + i sin50°+2kπ )=72(cos50°+2kπ + i…

Q: Write the complex number 8(cos 7π/4 + i sin 7π/4) in rectangular form. If necessary, round to the…

A: Explanation: Given that,  Complex number in polar form: 8cos7π4+isin7π4 Convert it into a…

Q: Write the complex number 30(cos 2.3 + i sin 2.3) in rectangular form. If necessary, round to the…

A: the given complex number is 30cos 2.3 +isin 2.3. we have to write the complex number in rectangular…

Q: Convert the complex number from the given polar form to the rectangular form x+ yj. 9.00( cos 40.0°…

A: cos(40.0)° = 0.7660 sin(40.0)° = 0.6427

Q: Write the complex number 20(cos 205° + i sin 205°) in rectangular form. If necessary, round to the…

A: Our Aim is to write the complex number 20[cos(205°)  + i sin(205° )] -(i)in rectangular form.

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: Determine the indicated roots of the given complex number. When it is possible, write the roots in…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Use a scientific calculator or unit circle to convert the polar form of the complex number to its…

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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: Given the complex number z -1-V3i, find 2. Write an exact answer in polar form with 050<2.

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Q: Find the roots of complex numbers. z5 = 4i

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Q: Write the complex number 4(cos 240° + i sin 240°) in rectangular form. If necessary, round to the…

A: Given: 4(cos 240°+i sin 240°) can be expressed in the Euler's…

Q: Write the complex number 7(cos 3π/2 + i sin 3π/2) in rectangular form. If necessary, round to the…

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Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [√2 (cos 5π/6 + i sin…

A: We have to find indicated power of the complex number and we have to write it in rectangular form…

Q: Write the complex number 12(cos 60° + i sin 60°) in rectangular form. If necessary, round to the…

A: Given:12cos 60° + i sin60°

Q: write the given complex number in polar form and in then in the form a + ib. +isin 8. 8. 8 cos 10 [2…

A: Apply The De Moivre's theorem  z=rcosθ+isinθn=rncosnθ+isinnθ therefore,…

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: Write the complex number in polar form with argument θ between 0 and 2π. 8 − 8i

A: To determine the polar form of the complex number.

Q: In the polar form of a complex number,r(cos θ + i sin θ), r is called the__________ and θ is called…

A: Given:Polar form of complex numberrcosθ +i sinθ

Q: Given the complex numbers z = V2 + v2i, find the polar form.

A: We have to write the polar form.