Question

if sin(A-B)=1/2 and cos(A+B)= 1/2 then find A and B​

Answer 1

Answer:

A=45, B=15

Step-by-step explanation:

sin(A-B)=½

sin30=½

A-B=30—eq1

cos(A+B)=½

cos60=½

A+B=60—eq2

Add eq1 and eq2, we get

2B=30

B=30/2

B=15

Substitute B=15 in eq1

A-B=30

A-15=30

A=30+15

A=45