Question

if sin(a-b)=1/2,cos(a+b)=1/2, 0<a+b≤90,a>b,find a and b

Answer 1

=>sin ( a -b) = sin 30
=> on comparing
=> a - b = 60. (1)
=> cos ( a+b) = cos 60
=> on comparing
=> a +b = 60
=> a - b + a + b = 30 + 60
=> 2a = 90
=> a = 45
putting in 1
- b = 30 -45
b = 15