Question

sin (A-B)=cos (A+B)=1/2

then find (A,B) = ?​

Answer 1

Answer : A = 45, B = 15

Steps :

We know that the value of sin 30 and cos 60 is 1/2.

It is given that sin(A-B) = 1/2 and sin 30 = 1/2.

Therefore A-B = 30....eq(1)

Similarly A+B = 60....eq(2)

Now solving the following linear equation we get

-2B = -30

B = 15

Putting in eq 1

A = 45

Hope it helped you...