Consider the following. (2 + 21)(1 – 1) (a) Write the trigonometric forms of the complex numbers. (Let 0 s 0 < 27.) (2 + 21) = (1 – i) = (b) Perform the indicated operation using the trigonometric forms. (Let 0 s 0 < 2n.) (c) Perform the indicated operation using the standard forms, and check your result with that of part (b).

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A: Given expression is 3-2i 1+5i5+2i -4-i. Simplify the above expression as follows.

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Q: Express 3-i/2+3i  in the form a + bi

A: Rationalise i^2=-1

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Q: What is the complex conjugate of -6 + 4i?

A: Complex number is -6+4ithen complex conjugate is -6-4i

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Q: 67 V3 1 Use De Moivre's Theorem to express the complex number on the form a+ bi. ---1

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Q: Write the standard form of the complex number. V72(cos(225°) + i sin(225°)) Plot the complex number.…

A: Proceed as shown below

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Q: 2. For the following complex numbers; perform the indicated operations. Expressresultsin rectangular…

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Q: B. Express in the form of a complex number x+iy 1. (2+34)+(-4+5i) 2. (3+ 2i)(3 – 31) 8+4i 3. 1-i

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A: De Moivre's Formula: For any positive integer n and complex number x=a+ib, the de Moivre's formula…

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A: Given:…

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Q: 2. For the complex number 3 + 4i the real part is and the imaginary part is

A: Given  complex number = 3+4i

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A: We know that - cosh x= (ex-e-x)/2 using it, the explanation is given below-

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A: Given, z1 and z2 are two complex numbers and we have to show,

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Q: 6. Express the roots of the equation x + 1 = 8(x- 3) in a+ bi form.

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A: It is given that