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

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) ?

lf_ (cos x + cos y-cos z = 0 = sin x + sin y + sin) then cos ((xy) / (2)) =

If cos x + cos y + cos z = 0 = sin x + sin y + sin then tan (xy) =

If cos x = tan y, cos y = tan z and cos z = tan x, prove that sin x = sin y = sin z = sin18 ^ (@)

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

If cos^(-1)x +cos^(-1)y +cos^(-1)z =3pi then x+y+z is :

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 .

If : x*cos A *cos B= sin (A-B), y*cos B *cos C= sin (B-C), z*cos C *cos A= sin (C-A), then : x+y+z= (a)-1 (b)0 (c)sin(A+B+C) (d) cos(A-B-C)