Q. 125.0( 3 Votes )

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

Answer :

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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