`|[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)]|`=

sin(x+y)sin(x-y)+sin(y+z)sin(y-z)+sin(z+x)sin (z-x)=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?

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

If sin x+sin y+sin z+sin w=-4, then the value of sin^(400)x+sin^(300)y+sin^(200)z+sin^(100)w is sin^(400)x sin^(300)y sin^(200)z+sin^(100)wsin x sin y sin z sin w4(d)3

7.Show that | [1, cos x-sin x, cos x+sin x], [1, cos y-sin y, cos y+sin y ],[1, cos z-sin z ,cos z+sin z ]|=2| [1 ,cos x, sin x], [1, cos y, sin y ],[1, cos z, sin z] |

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

Q.if sin^(-1)x+sin^(-1)y+sin^(-1)z=(3 pi)/(2), then

If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^(2), then