if sin(A-b)=1/2 and cos(A+B)=1/2, then find A and B.
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Sin(A-B) = 1/2
= A-B = 30
Bec sin 30 = 1/2
Cos(A+B) = 1/2
= (A+B) = 60
Bec cos 60 = 1/2
Now, A-B = 30
A+B = 60
= 2A = 90
= A = 45
Put A value in eq. 2
A+B = 60
= 45+B = 60
B = 60-45
B= 15 .
A=45 and B = 15.
Hope it helps.....
= A-B = 30
Bec sin 30 = 1/2
Cos(A+B) = 1/2
= (A+B) = 60
Bec cos 60 = 1/2
Now, A-B = 30
A+B = 60
= 2A = 90
= A = 45
Put A value in eq. 2
A+B = 60
= 45+B = 60
B = 60-45
B= 15 .
A=45 and B = 15.
Hope it helps.....
rajbir8:
thankiew g
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