Evaluate and simplify in rectangular form. ( A •C Ln В — А В /С ; A = 8.252 75°; B = 4e]1.65 ; C = 2.375 cjs 60° A + B, %3D

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: tan(z,)

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Q: Solve the following complex number problems: a. Simplify: i5 + 3i35 + 2i23 – 2i12 (5+31) (3-41) b.…

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Q: Find all the complex square roots of w 64(cos 30+ i sin 30"). Write the roots in polar form with 0…

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Q: Convert to complex number, cot(-3+j)

A: The results used in the solution are written below:

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Q: 1. Subtract the following two complex numbers: (-5 + 3i) - (4 + 7i). What do you notice?

A: It is simple complex number problem.

Q: Add the following two complex numbers: (3 + 2i) + (5 – 31). What do you notice?

A: Given that (3+2i)+(5-3i)

Q: valuate the

A: Given,           Log2ABC;  A=8.25∠75° ,  B=4ej1.65, C=2.375 cjs60°

Q: Write the trigonometric form of the complex number. (Round your angles to two decimal places. Let 0…

A: Given: z = 77-i^  Comparing the given complex number with z=x+i^y, we get,  x = 77 , y = - 1. The…

Q: 1. Solve the following complex number problems: a. Simplify: i55 + 3i35 + 2i23 – 2i1² (5+31)(3–41)…

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Q: In Problem,write complex number in rectangular form.

A: In the rectangular form, a complex number can be represented as a point on a two dimensional plane…

Q: QUESTION 10 Find the two square roots of the following complex number: (-5 + 12) O (3 + 2i) & (- 3 -…

A: To find the square roots of the given complex numbers. -5+12i The square root of a complex number…

Q: sin(0.346 – 0.548i), |

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Q: Evaluate and simplify in trigonometric form. tan-1(A)B“;A = 8.252 75° ; B = 4e]1.65 ; C = 2.375 cjs…

A: Given that, A=8.25∠75°B=4ej1.65C=2.375cjs60°We need to evaluate and simplify the term tan-1ABC in…

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: Evaluate the following complex numbers. Express your answers in rectangular form and Euler form.…

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Q: Evaluate and simplify sec(3 – j5) · csc(2 + j4) cot(5 – j2) |

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Q: From the topic of Trigonometric of Complex Numbers. Convert to complex number, cos-1(3+j)

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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: Convert the complex number to trigonometric form: r (cos 0 + i sin 0). Round your answer to 3…

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Q: Plot the complex number z = 3 + 2i and find its absolute value.

A: Consider the provided complex number, z=3+2i Find its absolute value. The absolute value of a…

Q: Given a complex number w =. TM UTM UT iv3) by giving your answers in i. Express w in polar UT4 ii.…

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Q: From the topic of Trigonometric of Complex Numbers. Convert to complex number, csc(3-7j)

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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: GIVEN COMPLEX NUMBER 2. (4 + 5i )(4 – 5i)

A: Given complex number is (4 + 5i)(4 - 5i)

Q: Find all the complex fourth roots in rectangular form of w = 64 cos +i sin %3D (Type your answer in…

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

Q: Solve the following complex number problems: a. Simplify: i55 + 3i35 + 2i²3 – 2i12 b. (5+3)(3-41)…

A: Part (d) We have 4∠30°-2∠225°2∠140°3∠300° Now, complex numbers in polar form r∠θ° can be written as:…

Q: GIVEN COMPLEX NUMBER 3 1. 2 - 5i

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Q: Evaluate and simplify in polar form. Log (V3ej1.4325 + 4 cjs25°(-5 + j6)

A: The given problem is to evaluate and simplify the given complex term and to convert it into the…

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

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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: Evaluate the complex number sin(0.346 – 0.548i), -

A: We know that  sin(ix) = i sinhx,   and  cos(ix) = coshx  sin(A-B) = sinA cosB - cosA sinB

Q: Find the complex numbers in the form of z = a + bi such that zz*= 100 and a+b= 14. Note: answers…

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Q: Evaluate and simplify in exponential form. (3+j2) cot-1*+12/–12 – j9 |

A: Evaluate and simplify in exponential form. cot-1(3+j2)✓(-12-j9)

Q: 1. Solve the following complex number problems: a. Simplify: i55 + 3i35 + 2i23 – 2i12 (5+3i)(3–41) -…

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Q: Evaluate and simplify in polar form. sin (3ej1.4325 + 4 cjs25°(-5 +j6)

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Q: convert the complex number to trigonometric form. (Round  angle to two decimal places.) −12 + 6i

A: We have to write the complex number in trigonometric form.

Q: – 5i·-3i =

A: The general form of a complex number is given by z=a+ib, where i=-1. If a=0, then the complex number…

Q: Find all the complex square roots of w= 81(cos 30° + i sin 30°). Write the roots in polar form with…

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: a. Simplify: i20 + 3i18 – 2i15 – 2i11 + 5 -

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Q: Evaluate x and y from the equation: jx 3x + j4 1+ jy x + 3

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

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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: Solve x2 + 25 0 over the set of complex numbers. +25 15i 土5 D 125i

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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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