What is the result of multiplication of complex numbers -√3+1 and (cos+ i sin )? A (cos+isin) B (cos + + i sin +) C (cos+isin) D(cos+isin)

Q: Multiply complex numbers 3(cis122)4(cis213)

A: Given complex numbers: 3(cis122)4(cis213)

Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

Q: 10 2) z = (-j)()

A: We have to use De Moivre's theorem cosθ+jsinθn=cosnθ+jsinnθ and Eular form of complex number…

Q: 12cis(75°) Calculate the exact value of writing your answer in rectangular form 2cis(15°) ’ a + bi…

A: Complex number

Q: Rewrite the complex number 3(cos 3.5 + i sin 3.5) in a + bi form a = b =

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Q: 7-i/-i divide complex number

A: Given : 7-ii

Q: Multiply    (a)  (a+ 1) (a-1) (b)  ( sec theta + 1)  ( sec theta - 1)

A: To Multiply  (a)  (a+ 1) (a-1) (b)  ( sec theta + 1)  ( sec theta - 1)

Q: A complex numbers is a symbol x + jy, where x and y are = -1. numbers and i^2 rational O real O…

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Q: Do complex numbers have inverses under the complex additionoperation (‘additive inverses’)? Explain.

A: z = a+ib is a complex number Then additive inverse of z is = -a-ib

Q: Find the Modulus of the following complex numbers: (a) 3 (b) (i + 1)(2 – i) (c) 2 – 3i

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Q: This complex number is pure real? 1-2i/i and why?

A: For a complex number, z=x+iy, where x is the real part, y is the imaginary part. The complex number:…

Q: sin2(78°) + cos2(78°)

A: Question is based on trigonometric ratios and angels.

Q: -10: Simplify. 9. (1– cosx)(cscx + cotx)

A: Simplify  (1-cosx)(cosecx+cotx)

Q: Simplify the following expression involving complex numbers: (1-i)2-5i – (3+4i), Write the result in…

A: Let's find.

Q: Solve the complex number z = (2+3i)^3/2

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Q: Evaluate these complex numbers: (a) _2 – j] (b) 6 30° + j5 –- 3 + e45°

A: To find- Evaluate these complex numbers:  j31 + j2 - j2 6∠30° + j5 - 3 + ej45°

Q: 1- x-2 Before simplifying I wrote the complex fraction 1 - 5x-3' without negative exponents as 1 1 1…

A: Given1-x-21-5x-3=1-1x21-15x3=x2-1x25x3-15x3=x2-15x3-1·5x3x2=xx2-15x3-1

Q: 4. What is the simplification of the following complex expression (i? = -1) 5-i 3+i

A: To simplify the given complex expression:- 5-i3-i

Q: Write the expression as a complex number in standard form. I) (-8 + 8i) – (2 + 4i) 2) (8i) + (-4 -…

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Q: + jsin 12 12 .2 +jsin - Simplify 3 cos cos

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Q: Verify that (¹)² = i²i but that (i²)i ‡ į²i ("i" imaginary unit)

A: What is Complex Number: A real number and an imaginary number are effectively combined to create a…

Q: What is the absolute value of the complex number -4-\sqrt(2)i ?   Please clean handwriting

A: We know that if Z= a+bi then absolute value |Z| = sqrt(a^2+b^2).

Q: #5

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Q: How does (2cos(theta))2 + (-2sin(theta))2 equal 4?

A: 2cosθ2+-2sinθ2=4cos2θ+4sin2θNext step:-

Q: 12) (3 + 2i) + (5-3i) 13) (4 + 2i) (3 - 2i)

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Q: Write the expression as a compl I) (-8 + 8i) – (2 + 4i)

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Q: 6つ3-5i, 3rsi Sum Product (3-50t(3+5) 3-5i3C3+5iつ 3-Si>(3+ Si)

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Q: 2) (240275+160人-300)(60-8o) (67+842)(204320)

A: The given problem is to evaluate and simplify the given complex expression and expressed in polar…