Question

Given cos (A + B) = 1\2 = sin (A - B). Find A and B.​

Answer 1

cos(a+b)=1/2

cos(a+b)=cos60. (cos60=1/2)

a+b=60..............1

sin(a-b)=1/2

sin(a-b)=sin30. (sin30=1/2)

a-b=30................2

on adding 1 and 2,we get

a+b=60

a-b=30

2a= 90

a=45

putting a=45 in 1

a+b=60

45+b=60

b=60-45

b=15