Question

27. If sin(A-B)= 1/2 and cos(A+B)=1/2 find A and B.?​

Answer 1

Answer:

A = 45degree B = 15degree

Answer 2

Answer:

sin(A-B)=1/2=sin 30

=> A-B=30

=> A=30+B

again,

cos(A+B)=1/2=cos 60

=> A+B=60

putting the value of A,

30+B+B=60

=> 30+2B=60

=> 2B=60-30

=> 2B=30

=> B=30/2

=> B=15

so, A=30+B=30+15=45

A=45 °and B=15 °