Find the four fourth roots of z= cos 4p/3 i+ sin 4p/3 . Leave your answers in trigonomet-ric form.

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Q: Find the four fourth roots of z = 16( cos 2 + i sin 2). Write each root in standard form. Wo = W1 =…

A: Given: z=16cos2π3+isin2π3 Rewriting the above complex no in exponential form, we get: z=16ei2π3 The…

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

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A: Given that z=81 cos2π3+isin2π3. Obtain the fourth roots as follows. z14=8114 cos2π3+isin2π314=3…

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Q: Find the four fourth roots of z = 81 ( cos 4pi/3 + isin 4pi/3 ). write each root in standard form

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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.