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Let $A$ and $B$ denote the statements : $\text{A}:\cos\text{a}+\cos\text{b}+\cos\text{g}=0$
$\text{B}:\sin\text{a}+\sin\text{b}+\sin\text{g}=0$
If $\cos(\beta-\text{y})+\cos(\text{y}-\alpha)+\cos(\alpha-\beta)=\frac{-3}{2}$ then:

• ✓
  $A$ 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.