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If a = cos x + i sin x, b = cos y + i sin y, c = cos z + i sin z and a + b + c = 0, the value of a−1 + b−1 + c−1 is what? options are 1, 0, -1, or 2. plz give a detailed solution. thanx!!

If a = cos x + i sin x, b = cos y + i sin y, c = cos z + i sin z and a + b + c = 0, the value of a−1 + b−1 + c−1 is what?
options are 1, 0, -1, or 2. plz give a detailed solution.
thanx!!

Grade:12th pass

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