If sin (A + B) = cos (A – B) = , fins A and B.

Given :

⇒ Sin(A+B) = sin (60 ^o)

On equating both the sides, we get

A + B = 60 ^o …(1)

And

⇒ cos(A – B) = cos (30 ^o)

On equating both the sides, we get

A – B = 30 ^o …(2)

On Adding Eq. (1) and (2), we get

2A = 90 ^o

⇒ A = 45 ^o

Now, Putting the value of A in Eq.(1), we get

45 ^o + B =60 ^o

⇒ B = 15 ^o

Hence, A = 45 ^o and B = 15 ^o