[" Thustration "22" : "],[qquad [" Simplify: "cos x*sin(y-z)+cos y*sin(z-x)],[+cos z*sin(x-y)" where "x,y,z in R]]

Simplify cos x . Sin (y-z)+cos y. sin (z-x)+cos z.(x-y) where x,y,z in R

If sin^(-1)x +cos^(-1)y +sin^(-1)z=2pi then 2x-z+y is :

What is the value of (sin (x-y))/(cos x cos y)+(sin (y-z))/(cos y cos z)+(sin (z-x))/(cos z cos x) ?

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] |

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 (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 .

Show that sin (x-y) + sin (y-z) + sin (z-x) + 4sin((x-y)/(2)) sin( (y-z)/(2)) sin((z-x)/(2)) =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 sin^(2)x+cos^(2)y=2sec^(2)z for x,y, and z

Given that cos(x-y) +cos (y-z) +cos (z-x)=-3/5 find cos x+ cos y + cos z