1.

If \[\sin (A+B)\]=1 and \[\cos (A-B)=\frac{\sqrt{3}}{2},\]then the smallest positive values of A and B are

A. \[{{60}^{o}},\text{ }{{30}^{o}}\]
B. \[{{75}^{o}},\text{ }{{15}^{o}}\]
C. \[{{45}^{o}},\text{ }{{60}^{o}}\]
D. \[{{45}^{o}},\text{ }{{45}^{o}}\]
Answer» B. \[{{75}^{o}},\text{ }{{15}^{o}}\]


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