Question: If x= cos alpha + i sin alpha, y = cos beta + i sin Beta, z = cos gama + i sin gama

If x= cos alpha + i sin alpha, y = cos beta

If x= cos alpha + i sin alpha, y = cos beta + i sin Beta, z = cos gama + i sin gama and x + y + z=0. Then prove that x^-1 + y^-1 + z^-1 = 0.

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