# If sin (A – B) = 1/2, cos(A + B) = 1/2; 0o<A+B<90o; A > B, find A and B.

Given :

Sin(A-B) = sin (30 o)

On equating both the sides, we get

A - B = 30 o …(1)

And

cos(A + B) = cos (60 o)

On equating both the sides, we get

A + B = 60 o …(2)

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

2A = 90 o

A = 45 o

Now, Putting the value of A in Eq.(2), we get

45 o + B =60 o

B = 15 o

Hence, A = 45 o and B = 15 o

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