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`

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

Prove that, sin x.sin y.sin (xy) + sin y * sin z * sin (yz) + sin z * sin x * sin (zx) + sin (xy) * sin (yz) * sin (zx) = 0

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

What is the value of [sin (y- z) +sin (y + z) + 2 sin y]//[sin (x-z) +sin (x + z) + 2 sin x] ? [sin (y- z) +sin (y + z) + 2 sin y]//[sin (x-z) +sin (x + z) + 2 sin x] का मान क्या है?

|[sin(x+p),sin(x+q),sin(x+r)],[sin(y+p),sin(y+q),sin(y+r)],[sin(z+p),sin(z+q),sin(z+r)]| =

What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?

If sin ((x+y)/( 2)) =sinx +sin y and sin ((x-y)/( 2 ))ne 0,then (dy)/(dx)=