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If a = cos alpha + i sin alpha , b = cos...

If `a = cos alpha + i sin alpha , b = cos beta + i sin beta, c= cos gamma + i sin gamma and (b)/(c) + (c)/(a) + (a)/(b) = 1,` then ` cos (beta - gamma) + cos (gamma - alpha ) + cos (alpha - beta)` is equal to

A

`3//2`

B

`-3//2`

C

`0`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
D
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