Write the complex number 5( cos 285° + i sin 285°) in the form a +bi. 5( cos 285° + i sin 285°) =D (Type your answer in the form a + bi. Round to the nearest tenth as needed.)

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

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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: Use DeMoivre’s Theorem to find the indicated power of the complex number [√3 (cos 5π/18 + i sin…

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Q: 12 TT CoS + i sin + i sin 6.

A: I am attaching image so that you understand each and every step.

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 rectangular form. 11n 117 4 cos +i sin 6. 6.

A: Solved below

Q: 13 8 cos 37 + i sin 8 |10 + i sin 16 Cos 16

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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: Convert the complex number from polar form to rectangular form, a+bi. 15.1 cos+i sin :) The…

A: Given,  The complex number  15.1cosπ4+isinπ4  We have to write it in rectangular form a+ib

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

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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: 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: Rewrite the complex number 5(cos5.5+i sin5.5) in a+bi form

A: See the details solution below

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

A: 8cos60°+isin60°

Q: Write the complex number = = 4+6i in trigonometric form (sometimes called polar form). Express the…

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

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Q: Write the complex number z = -1+3i in trigonometric form (sometimes called polar form). Express the…

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Q: Write complex number 10(cos 210° + i sin 210°) in rectangular form. If necessary, round to the…

A: It is given that 10(cos 210° + i sin 210°)   It is known that cos210°=-32sin210°=-12

Q: Write the complex number : = 5+6i in trigonometric form (sometimes called polar form). Express the…

A: A complex number is given by, z=5+6i. The objective is to write the given complex number in the…

Q: The complex number (cos+ i sin can be expressed in the form a + bi, where a, be R, as 31. COS 27 27…

A: solution:-

Q: Find the product of the complex numbers z1 = 4(cos 50° + i sin 50°) and z2 =  7(cos 100° + i sin…

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…

Q: Express the complex number z = -6/3 – 6i in polar form r(cos 0+ i sin 0). Provide your answer below:…

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Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in…

A: Note : DeMoiver's Theorem :If  r(cosθ + i sinθ) is a complex number then ,{r(cosθ + i sinθ)}n =…

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

A: Given a complex number: Now,

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

A: Given complex number 3-4i    Point can be taken as (x,y)=(3,-4)      r=√(X2+y2)    r =√(32+(-4)2)…

Q: write the standard form of the complex number. round numerical values to four decimal places. 2(cos…

A: Given complex number is, 2(cos(6π11)+isin(6π11)) The standard form of the complex number is a±ib,…

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: Convert the Complex number 10V3- 10i to trigonometric form: r(cos(0) + i- sin(0)).

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Q: Write the complex number z = 1-3i in trigonometric form (sometimes called polar form). Express the…

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

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

A: We have to write the complex number z=-1+2i in trigonometric form (polar form). and we express the…

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: 2. What is the standard form of the complex number –13.5(cos() + i sin())?

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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: 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 complex number z= 6+3i in trigonometric form (sometimes called polar form). Express the…

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Q: Convert the given complex number from rectangular to polar form. - 3/2 +3j/2 - 3-/2 + 3j/2 =(cos +…

A: We have to find

Q: Convert the complex number 8 cos +i sin to polar form. Give exact answers for r and 0 (no decimals).

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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: Use DeMoivre’s Theorem to find the indicated power of the complex number .Write answer in…

A: Given complex number:                                            2cos10°+isin10°3

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

A: Complex number in trigonometric form

Q: Write the complex number in polar form. 4+4i 4/2 (cos +i sin) (Type an exact answer in the first…

A: Given that, 4+4i Calculate the complex number in polar form.