Question

If sin (a-b)=1/2 cas(a+b)=1/2find a and b .

Answer 1

Sin (a-b)= 1/2

Cos (a+b)= 1/2

Sin (a-b)= sin 30

Cos (a+b)= cos 60

a-b= 30

a+b= 60

a= 30+b

Put in 2

a+b= 60

30+b+b= 60

30+2b= 60

2b= 60-30

2b= 30

b= 15

Put in 1,

a= 30+b

= 30+15

= 45