Question

sin x + sin y = a, cos x - cos y=b then tan(x-y)/2=



Please give the solution fast!!!!!!!!!!!!!!!!!!!!​

Answer 1

Answer:

Step-by-step explanation:

We know that,

SinA + SinB = 2Sin(A+B/2)Cos(A-B/2)

CosA - CosB = -2Sin(A+B/2)Sin(A-B/2)

Cosx - Cosy/Sinx + Siny = b/a

-2Sin(x+y/2)Sin(x-y/2) / 2Sin(x+y/2)Cos(x-y/2) = b/a

- Tan(x-y/2) = b/a

=> Tan(x-y/2) = - b/a