question_answer

If \[\text{sin(A}+\text{B)}=\text{1}\]and\[\text{cos(A-B)}=\frac{\sqrt{3}}{2}\], find A and B.

A)  \[\text{45}{}^\circ ,\text{45}{}^\circ \]                 

B)         \[\text{9}0{}^\circ ,\text{45}{}^\circ \]

C)  \[\text{45}{}^\circ ,\text{ 3}0{}^\circ \]       

D)  \[\text{6}0{}^\circ ,\text{ 3}0{}^\circ \]