Find the indicated roots of the following complex number. Write your answer in polar form in degrees. Find the cube root of (27cis(240°)).

Q: tan(z,)

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

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Q: Find all the complex roots. Write roots in rectangular form. If necessary, round to the nearest…

A: To find the complex fourth roots of 81cos4π3+isin4π3. Solution: We know that if z=rcosθ+isinθ is a…

Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

A: The complex number 1083+108i. We have to find three cube roots for the following complex number.

Q: Find two square roots for the following complex number. Leave your answers in trigonometric form.…

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Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

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Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [1/2 (cos π/14 + i sin…

A: 12cosπ14+isinπ147 De Moivre’s Theorem states that, if rcosθ+isinθ is a complex number then…

Q: Find two square roots for the following complex number. Leave your answers in trigonometric form.…

A: 4(cos 310° + i sin 310°) To Find: Find two square roots for the following complex number.

Q: Find the trigonometric form of each complex number of 32i and then find the fifth roots.

A: we have given that z=32iwe know that z=x+iy=32ilet x=rcosθ, y=rsinθwhere…

Q: Find two square roots for the following complex number. Leave your answers in trigonometric form.…

A: Given: z=9cos240°+isin240° To Find: Two square root for the given complex number Concept: De-Moivres…

Q: Solve the following inverse trigonometric and hyperbolic complex numbers in their rectangular form.…

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Q: determine the indicated roots of the given complex number.  (1 − i)1/2

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Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

A: Given: z=-27we have a form z=r eiθTo find the cube roots

Q: Write the following complex number in trigonometric form: - 2 + 2i

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: The given expression is -2+7i-1+i

Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

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Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

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Q: Use a calculator to help write the complex number in standard form. Round the numbers in your…

A: The explanation of answer as follows

Q: find each of the following quotients, and express the answers in the standard form of a complex…

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Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Given: The quotient 3+6i4-5i. The given quotient can be converted into the standard form of a…

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…

Q: Find two square roots for the following complex number.  9(cos 210° + i sin 210°)

A: We have to solve the problem

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: Solve the following  complex numbers in their rectangular form. Use the given formula and use 4…

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

A: The given complex number is 1+i. Obtain the fourth roots of the above complex number as follows.…

Q: Find the two square roots for the following complex number. Write your answers in standard form.…

A: let us take z=x+iy  is any complex no    given   z2= -6+63    x2-y2+ 2xyi=-6+63 i    x2-y2= -6…

Q: Solve the following  complex numbers in their rectangular form. Use the given formula and use 4…

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Q: Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a…

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Q: .................. Find three cube roots for the following complex number. Leave your answers in…

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Q: Find two square roots for the following complex number. Leave your answers in trigonometric form.…

A: A complex number 25cos240°+isin240°. We have to find the two square roots for this complex number.

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 270° + i sin 270°). Write the roots in polar form with…

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Q: Use a calculator to help write the complex number in standard form. Round the numbers in your…

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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 trigonometric form for the following complex number  -√3 + i

A: (- √3 + i )    =  2( ( - √3/2) + i*( 1/2 ) )    We know that, a complex number is always denoted as…

Q: Find two square roots for the following complex number. Leave your answers in trigonometric form.…

A: Using de movire formula square root is given by:  wk=9cos320°2+k360°2+isin320°2+k360°2 where k=0 or…

Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

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Q: Write the following complex number in Polar form: 5+ V4i Z= 5-6i

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Q: Find the square roots of the given complex number by using result (10) and then confirm the result…

A: We can find the square root of complex number by using the formula.

Q: Find the three cube roots for each of the following complex numbers. Leave your answersin…

A: Consider the complex number: z=8cos 210°+i sin 210°. Find the cube root that is, z13=8cos 210°+i sin…

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: find each of the following quotients, and express the answers in the standard form of a complex…

A: Given : −3+8i−2+i

Q: Find two square roots of each of the following complex number   -12 + 5i

A: given,         -12+5i

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Given 3i2+4i

Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

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Q: Find two square roots of each of the following complex number     5 + l2 i

A: To Determine: Find two square roots of each of the following complex number. Given: we have a…