Question

What are the values of A and B if sin(A – B ) = 0.5 and cos ( A + B ) = 0.5

Answer 1

Answer:

sin a-b=sin30°=1/2

a-b =30°. let eq 1

cos a+b=cos 60°=1/2

a+b=60° let eq. 2

from 1&2

by elimination method

2a =90

a=45

a-b =30

45-b=30

-b=-15

b=15