If $\sqrt{2}\cos(A - B) = 1$ and $2\sin(A + B) = \sqrt{3}$ with $A, B$ acute, then $A = ?$

Question

Accepted Answer

$52.5^\circ$

Answer

$45^\circ$

Answer

$60^\circ$

Answer

$30^\circ$

If 2cos⁡(A−B)=1\sqrt{2}\cos(A - B) = 12​cos(A−B)=1 and 2sin⁡(A+B)=32\sin(A + B) = \sqrt{3}2sin(A+B)=3​ with A,BA, BA,B acute, then A=?A = ?A=?