A and B are complementary angles
so A+B = 90
and use the formula sin(90-A) = cosA
(cos A cos B + sin A sind B ) / (sin A sin B)
= (cos A cos (90-A) + sinA sin (90-A) ) / (sin A sin (90-A))
= (cos A sin A + sinA cos A ) / (sin A cos A)
= 2(cos A sin A ) / (sin A cos A)
=2