-1/2 = cos (pi+pi/6)= cos (7pi/6)

-√3/2 =sin(pi+pi/6) =sin (7pi/6)

[cos (7pi/6)+i sin (7pi/6)]^{10 } = cos 70pi/6+i sin 70pi/6= cos (72pi/6-2pi/6)+i sin (72pi/6-2 pi/6)

= cos (2pi/6)-isin(2pi/6) = cos (pi/3)- isin pi/3 =1/2 -i √3/2

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