Prove that, `sinx.siny.sin(x-y) + siny.sinz.sin(y-z) +`` sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x)=0`

The value of sinx siny sin(x-y)+sinysinz sin(y-z) +sinz sinx sin(z-x)+sin(x-y)sin(y-z)sin(z-x), is

Prove that sin (x + y ) sin (x -y) + sin ( y+ z) sin (y - z) + sin (z+x) sin (z-x) = 0.

Show that sin (x-y) + sin (y-z) + sin (z-x) + 4sin((x-y)/(2)) sin( (y-z)/(2)) sin((z-x)/(2)) =0

Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

Prove that: (cosx-cosy)^2+(sinx-siny)^2=4sin^2 (x-y)/2

Prove that : (sin (x+y))/(sin (x-y) )= (sin x. cos y + cos x . Sin y)/(sin x. cos y-cos x. sin y)

Plot y=sinx and y=sin(x/2)

Prove that : (sin x + sin y)/(sin x - sin y) = tan ((x+y)/2).cot ((x-y)/2)

Solve the system: x sin a + y sin 2a + z sin 3a = sin 4a x sin b + y sin 2b + z sin 3b = sin 4b x sin c + y sin 2c + z sin 3c = sin 4c

y=e^(sin x)/sinx then (dy)/(dx)=