If `x + y + z = 0` then `cot (x + z-y) , cot(x + y-z) + cot (x + y-z) ,cot( y + z-x)+cot (y + z-x) . cot(z + x-y)=?`

If x+y+z=0 , show that : cot(x+y-z) cot (z+x-y) +(cot(x+y-z) cot (y+z-x)+cot(y+z-x) cot (z+x-y)=1

If x+y+z=0 , show that : cot(x+y-z) cot (z+x-y) +(cot(x+y-z) cot (y+z-x)+ cot(y+z-x) cot (z+x-y)=1

Show that cot (x-y)=(cot x cot y+1)/(cot y-cot x)

If cos x = tan y, cot y = tan z and cot z = tan x, then sin x =

If cos x= tan y , coty= tan z , cot z= tan x then sin x=

If cos x = tan y , cot y= tan z and cot z= tan x, then sin x =

If x gt y gt z gt 0 , then find the value of "cot"^(-1) (xy + 1)/(x - y) + cot^(-1).(yz + 1)/(y - z) + cot^(-1).(zx + 1)/(z - x)

If sin x + sin y + sin z = 0 and cos x + cos y + cos z = 0 then prove that cot (x+y)/2 = cot z and cos (x-y)/2 = pm 1/2

If x gt y gt z gt 0 , then find the value of "cot"^(-1) (xy + 1)/(x - y) + "cot"^(-1)(yz + 1)/(y - z) + "cot"^(-1)(zx + 1)/(z - x)