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Let A and B denote the statements A:co...

Let A and B denote the statements
`A:cosalpha+cosbeta+cosgamma=0" "B:sinalpha+sinbeta+singamma=0`
If `cos(beta-gamma)+cos(gamma-alpha)+cos(alpha+beta)=-(3)/(2)`, then :

A

A is false and B is true

B

both A and B are true

C

both A and B are false

D

A is true and B is false

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