If sin (A + B) =

Given: sin (A + B) = 1 and cos (A – B) = 1

sin(A+B) = 1

Also, we know, sin 90⁰ = 1 

 sin(A+B) = sin 90⁰

or (A+B) = 90⁰                               .............(1) 

Now, cos (A – B) = 1

And, we know, cos 0⁰ = 1

 (A - B) = 0⁰                      .............(2) 

On solving both equations (1) and (2) , we get

2A = 90⁰

or A = 90⁰/2

or A = 45°

Similarly, B = 45°