Question

If sin (A - B)= 1/2 and cos(A+B) = 1/2 then the value of B is

Answer 1

Answer:

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

=> A-B=30

÷> A=30+B

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

=> A+B=60

putting the value of A

30+B+B=60

=> 2B=60-30=30

=> B=30/2=15

A=30+B=30+15=45

so,A=45°,B=15°