Question

20
3
If x + y =
and sinx + siny
then find x,y
3​

Answer 1

Answer:

we know that ,

Sin A+ sin B = 2 sin (A+B)/2 cos(A-B)/2,

given ,

x+y=2π/3,----->eqn1

sin x + sin y = 3/2,

=>2 sin (x+y/2) cos (x-y/2) = 3/2,

=>2sin(π/3)cos(x-y/2)=3/2,

=>cos(x-y/2)=3/2√3=√3/2,

=>(x-y)/2 = π/6,

=>x-y=π/3----->eqn2,

solving eqn 1 & eqn 2,

we get,x=π/2,y=π/6.

Hope it helps u...