Mathematics help

Question

If 0≤x≤2π and 0≤y≤2π satisfy the equation sin(x+y)=sin y cos x,then cos y sin x=...

A.-1
B.-1/2
C.0
D.1/2
E.1

Answer 1

sin (x + y) = sin y cos x            Use the addition formula

sin x cos y + sin y cos x = sin y cos x

sin x cos y = 0

 

C.