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

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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…

Q: Find the four fourth roots of  z = 81(cos 4pi/3 + i sin 4pi/3) w0=  w1= w2= w3= .  Write each…

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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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