Find the three cube roots of 8(cos 264° +j sin 264") and state which of them is the principal cube root. Show all three roots on an Argand diagram. 6.

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A: z=16cos2π3+isin2π3 For forth roots of z z14=16cos2π3+isin2π314 z=2cos2+nπ3+isin2+nπ3 Where n=0,1,2,3…

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Q: Express in the form a + bi where a and b are real numbers.

A: we have z = 12cos4π3+ isin4π3    Now 4π3= π+π3 hence z = 12cosπ+π3+ isinπ+π3               =…

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Q: 7. J cos60 de.

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.