Answer :

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°

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