Use De Moivre's theorem to change the given complex number to the form a + bi, where a and b are real numbers. {1-sqrt(3)i}^12 A 12 B -2048 c) 2048i D -2048i E -4096i

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Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

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A: Given: a+ib=-6413 For finding cube root of -64, we cube given expression then simplify it

Q: Use De Moivre's theorem to change the given complex number to the form a + bi, where a and b are…

A: We need to write (1-√3i)12 in the form a+ib

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A: Let z be a complex number given by, z=a+ib where a is the real part and b is the complex part of z.

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given :            -22 + 22i15   To change the given complex number to the form a + bi using De…

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A: given(-32-12i)20 =(-1)20(32+12i)20 =(cos30+isin30)20 The formula of Demoivre's theorem is cos θ+isin…

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A: cis(x) = cos(x)+isin(x)

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Q: 2) Find the sojution in the field of the complex numbers to the linear equation 2x- (1+ 2i) =-ix +…

A: Step:-1 Given that  2x - 1+2i = -ix + 2+2i right all terms of x in left side and constant terms in…

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Consider the given expression as -32-12i20

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Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given: The complex number -32-12i50.

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Solution: Consider the given complex number is: z = 3 + i7 We have  z = a + ib⇒z = rcos θ + i sin θ…

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given complex number is: Let us consider, r cos θ=22r sin θ=-22 Then we get,…

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Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given complex number is: 22+22i25 Let us consider, r cos θ=22r sin θ=22 Then we get,…

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A: Explanation of the answer is as follows

Q: Write the complex number in polar form with argument e between 0 and 2N. 6 + 6V3i

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