Hi

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Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 Determine the fourth roots of 16 in the form x+iy.where x and y are not trigonometric functions

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16 = 16(cos(0+2npi) + isin(0+2npi)

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16^(1/4) = 2(cos](0+2npi)/4]+ isin[(0+2npi)/4]

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Let n = 0 to get 16^(1/4) = 2(cos(0) + isin(0) = 2 + 0i

Let n = 1 to get 2[cos(pi/2)+isin(pi/2)] = 2(0+i) = 0+2i

Let n = 2 to get 2(cos(pi) + isin(pi)] = 2(-1+0i) = -2+0i

Let n = 3 to get 2[cos(3pi/2) + isin(3pi/2)] = 2(0-i) = 0-2i

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Cheers,

Stan H.

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