1.

If sin(A+B)=1/2 and 2cos(A+B)=1.find A and B.

Answer»

Sin (A + B) = 1/2
A + B = sin-1(1/2) 
A + B = 30° ...... (1)

Now,

2 Cos(A + B) = 1
Cos(A + B) = 1/2
A + B = Cos-1(1/2)
A + B = 60°.........(2)

Equation 1 and 2 contradicts each other.  Hence value of A & B cant be determined from the above two equations.



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