Question

Reducir E=sen(x+y)-cosx.seny/sen(x-y)+cosx.seny

Answer 1

${\dfrac{\sin(x+y)-\cos x.\sin y}{\sin(x-y)+\cos x.\sin y}=}\\\\\\{\dfrac{\sin x.\cos y+\cos x.\sin y-\cos x.\sin y}{\sin x.\cos y -\cos x.\sin y+\cos x.\sin y}=}\\\\\\{\dfrac{\sin x.\cos y}{\sin x.\cos y}=}\\\\\\{\boxed{1}}$


Salu2.!! :)
Wellington