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If alpha, beta and gamma are angles such...

If `alpha, beta` and `gamma` are angles such that `tan alpha+tan beta+tan gamma=tan alpha . tan beta . tan gamma`and `x=cos alpha+i sin alpha, y=cos beta+i sin beta` and `z=cos gamma+i sin gamma`, then x y z=

A

1 but not -1

B

-1 but not 1

C

1 or -1

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
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