Find two square roots for the complex number. Leave your answers in trigonometric form. 81 cis 0° 9 cis 90°,9 cis 270° 9 cis 90°,9 cis 180° O 9 cis 0°,9 cis 270° 81 cis 90°, 81 cis 270° 9 cis 0°,9 cis 180°

Q: Find the product of the two complex numbers. 21 = 3 (cos 10 +i sin 10") and zg=-2(cos 35" +i sin…

A: Given: x1=3(cos 10°+i sin10°) and x2=-2(cos 35°+i sin 35°)

Q: III. Find all cube roots of each complex number. 5. 8 cis 60°

A: We have to find cube roots of complex number 8 cis 60°.

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

A: Given inverse hyperbolic function is csch-1(-2.0807+4.5465i) We know the formula csch-1z=ln1z+1z2+1…

Q: Find the complex fifth roots of 32. Write roots in rectangular form. If necessary, round to the…

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Q: tan¬1(z3) O 1.6293 - 0.3856i O 1.7644 - 0.6938i O 1.3390 + 0.4024i O 1.2969 + 0.5153i

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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: Find the roots of the complex number: 27√3 27 2 2 i

A: Given

Q: Write each complex number in rectangular form. (a) 31cos 30° + i sin 30°2 (b) 4 cis 40° (c) 31cos…

A: a) 31 cos 30°+ i sin 30° 2=31·32+2i·12=3132+i

Q: Solve the following complex numbers. 0 ≥ θ ≥ 2Π If z5 = 1 - 2i

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Q: In(In z1) O -0.5198 - 0.7636i O 1.4979 - 0.4636i O 1.5680 - 0.8205i 0.4498 - 0.3002i O O O

A: Let z=x+iy be a complex number. The polar form of the complex number is z=reiθ, where r=x2+y2 and…

Q: (z2)8 O 6561 + i -8432 + 5376i O -352 + 936i O -1992 + 2456i O O O

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

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Q: What is the argument of the complex number given by z = (1+ iv3)(1 + i)(cos(0) + isin(0)) Select…

A: We have to find argument.

Q: Solve the following  complex numbers in their rectangular form. Use 4 decimal places  for the…

A: Given that coth-12+4i Since we know that coth-1x=12lnx+1x-1,   x>1 Then…

Q: Find the roots of the given complex number 1. z^3 = -2

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Q: Find the cubic roots of the Complex number Z=-j and graph these roots in the complex Plane? Ans. Wo…

A: To find cube root of given complex number first convert into euler form then take cube root. Then…

Q: Find the cube roots of the complex number z = 27 cis 165°. Select all correct answers. Select all…

A: Given, z=27cis165°

Q: 15. Write the complex number in rectangular form. 5 cis 330°

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Q: Find all the complex fifth roots of 243. Write roots in rectangular form. Zo = 3+0i (Type your…

A: Complex Number

Q: Find all the complex fifth roots of 243. Write roots in rectangular form. ..... Zo =U %3D (Type your…

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Q: Find the cube roots of the complex number z = 27 cis 135°. Select all correct answers. Select all…

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Q: Vz1 (principal root) O 4.3525 - 1.0275i O 4.3525 + 1.0275i O 2.0582 - 0.4859i O -2.0582 + 0.4859i

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Q: Write the complex number in standard form. 11m z = 9 cis 6. Z =

A: Topic - complex numbers Cis x = cos x+ i sinx

Q: 1.) tanh (3.0642 + 2.5712i)

A: The definition of hyperbolic tangent function is tanh x=e2x-1e2x+1. Use the definition of hyperbolic…

Q: Find the cube roots of the complex number z = 27 cis 135°. Select all correct answers. Select all…

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Q: Write the standard form of the complex number.   squareroot48[cos(−45°) + i sin(−45°)]

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Q: number. 12. (–1–i)!/3. 10. 4. 11. (–1)'/4.

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: Find all the complex fifth roots of 243. Write roots in rectangular form. Zo =U (Type your answer in…

A: follow next step

Q: 9. (1+iv3). 1/3

A: To find (1+i3)13

Q: zk =nsquare route r (cos theta +360 degreesk/n +i sin theta +360 degreesk/n)

A:

Q: 1.) sec (-2.0807 + 4.5465i

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Q: Solve the following complex numbers in their rectangular form. Use 4 decimal places for the…

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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: (3.0642+2.5712i)(-2.0806+4.5465i)

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Q: Find the real component if the complex number a + bi is raised to m if a = 5.6, b = 3, and m = 5.

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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…

Q: logz, Z3

A: This is a problem of complex analysis.

Q: 1. Write the complex number 2+ iv3 in the form of reie

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Q: VzI (k=1) O 4.3525 - 1.0275i O -4.3525 + 1.0275i O 2.0582 - 0.4859i -2.0582 + 0.4859i

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Q: If a = 2 + 10i, b = 4 – i, determine a²b³. Use all the roots of complex number b.

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Q: Find the argument of the complex number 3 + 17i 4 4. 47

A: Given complex number is- 3+17i We need to find argument of the given complex number. For any complex…

Q: Solve the following  complex numbers in their rectangular form

A: Given,         (3.0642+2.5712i)(-2.0806+4.5465i)

Q: : Find the roots of the complex number: (27V3 27 2

A: We have to find roots of given radical expression.

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

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Q: Find two square roots for the following complex number. 64 cis a Wo W1 = II

A: Given complex number is, z=64cisπ⇒z=64cos(π)+isin(π)⇒z=64(-1)=-64

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

A: We will convert the given number into standard  form of complex number as following-

Q: Given the complex numbers z1 = 5 (cos(139°) + i sin(139°)) and z2 = 2 (cos(-94°) + i sin(-94°)),…

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Q: Find all cube roots of the complex number −1 + i

A: We have to find all the cube roots of the given complex number.

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…

Q: Write the complex number shown below in trigonometric form. 6+ 4 -6 6 3-3√31 -4 2 O N -4 DJ (cos+ 47…

A: