Write each complex number in standard form.     4(cos 30 degree +i sin 30 degree )

Q: Determine the absolute value of each of the following complex numbers:a. z = 5 + 12i   b. 2 - 3i.

A: a. The given complex number is z=5+12i. The absolute value of a complex number is its distance from…

Q: Write the standard form of the complex number. V128(cos(225°) + i sin(225°))

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Q: I. Write each complex number in polar form. 1. 4√3 + 4i

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Q: 3. Write each given complex number in the form of a + bi a) 2e3+i

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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 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: find each of the products and express the answers in the standard form of a complex number. (3 + 2i…

A: Our Aim is to simplify (3+2i) (5+4i)-(i)

Q: Write the standard form of the complex number. 9(cos(135°) + i sin(135°))

A: Here the given We have to evaluate the standard form of the complex number.

Q: find each of the products and express the answers in the standard form of a complex number. (4 + 3i…

A: We have to find the product of the complex numbers to write in standard form: 4+3i 6+i We know that…

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

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Q: Write the complex number in standard form. 8(cos30∘+isin30∘)

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Q: Write each complex number in trigonometric form. In each case begin by sketch- ing the graph to help…

A: It has only x term which lies on 2nd quadrant.

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

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

Q: 1. Write each ordered pair (complex number) in the form: a + bi. a. (2, 6) b. (-7, -3) c. (5, -2) d.…

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Q: Write each complex number in standard form.   8(cos 330 degree + i sin 330 degree )

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Q: Express each product, quotient, or power in both trigonometric and complex form. (-2 + 2i√3)4

A: Express each product, quotient, or power in both trigonometric and complex form.

Q: Write each complex number in standard (or rectangular) form. Give exact values in your answers (not…

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

A: Our Aim isto simplify the expression given below:-6i-23i-(i)

Q: find each of the products and express the answers in the standard form of a complex number. (4 + 5i…

A: Consider the given complex number. C=(4+5i)2 The algebraic formula is defined as, a+b2=a2+b2+2ab

Q: Write each complex number in trigonometric form. In each case begin by sketch- ing the graph to help…

A: The given complex number lies in 2nd quadrant.

Q: Write each of the complex numbers in the form a + iß, where a and B are real numbers. (a) 2ei/3 (b)…

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Q: If we write the following complex number in standard form (V3+ v13i)(V3 - V13i) = a + bi then

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Q: 4.) Evaluate each complex number and write the answer in rectangular/standard form a + bi: a) (-V3 +…

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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 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: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A: Topic -multiplication Of complex numbers

Q: Write each complex number in trigonometric form. In each case begin by sketching the graph to help…

A: For this problem, first we need to find argument from graph.

Q: Write each of the following in rectangular form for the complex numbers w = 3 + 5i and z = -4 + i.

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

Q: 1. Write the complex number i+2 in the form of rei® .

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Q: Write the standard form of the complex number. V 98 (cos(225°) + i sin(225°))

A: we have given complex number is    98cos225∘+isin225°…

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

A: To express the complex number in standard form.(5+i)(2+9i) Solution: (5+i)(2+9i) On simplifying…

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

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Q: label each statement true or false. The real part of the complex number 6i is 0.

A: The given statement is The real part of the complex number 6i is 0.

Q: Write the standard form of the complex number. 5(cos(135°) + i sin(135°)) Plot the complex number.

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Q: Write the complex number i+2 in the form of reie

A: To represent the complex number in exponential form , use the following formulae. Where, x and y…

Q: Write each complex number in trigonometric form r(cos 0 + i sin 0), with 0 in the inter- val [0°,…

A: We will compare the equation with r=acosθ+bsinθ and try to evaluate the values where r=a2+b2 and…

Q: Find the following quotient and express the answer in standard form of a complex number. 3−5i/4−3i

A: The given expression is,

Q: (2+4i) b. (5-7i)

A: Topic- complex number

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

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Q: Express each product, quotient, or power in both trigonometric and complex form.  a. (3(cos60° +…

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Q: Write the complex number in standard form a + bi: 8(cos 210 – i sin 210)

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

A: A number of the form a+ib is known as complex number, where a and b are real numbers and i is an…

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

A: Let z = 5(cos 70 degree + i sin 70 degree) The complex number z is in polar form: z = r(cos theta +…

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: 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: Write the following complex number in Cartesian, Polar and Exponential form. V2 + V6i -1+ V3i

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…