Question

If Sin (A-B) -1/2 and CostA+B) = 1/2 find A and B​

Answer 1

Answer:

15

Step-by-step explanation:

Sin (A-B)=1/2     also  Sin60°=1/2  therefore A-B=60

Cos (A+B)=1/2   also cos 30°=1/2.    Therefore A+B=30

Now by elimination method we get A=45.

SUBSTITUTE THE VALUE OF A IN ANY ONE EQUATION TO GET B=15

Answer 2

Step-by-step explanation:

Sin (A-B)=1/2 also Sin60°=1/2 therefore A-B=60

Cos (A+B)=1/2 also cos 30°=1/2. Therefore A+B=30

Now by elimination method we get A=45.

SUBSTITUTE THE VALUE OF A IN ANY ONE EQUATION TO GET B=15

see in image you will get your answer