`x y=tan(x+y)`

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

Prove that : tan (x-y)+tan (y -z) + tan (z-x)= tan (x-y)tan (y -z) tan (z-x) .

Show that tan (x - y)+ tan (y - z) + tan (z- x) = tan (x - y) tan (y - z) tan (z- x)

If x, x - y and x + y are the angles of a triangle (not an equilateral triangle) such that tan(x - y), tan x and tan(x + y) are in GP, then what is x equal to ?

Find the number of pairs of integer (x , y) that satisfy the following two equations: {cos(x y)=x and tan(x y)=y (a) 1 (b) 2 (c) 4 (d) 6

Find the number of pairs of integer (x , y) that satisfy the following two equations: {cos(x y)=x and tan(x y)=y (a) 1 (b) 2 (c) 4 (d) 6

Find the number of pairs of integer (x , y) that satisfy the following two equations: {cos(x y)=x and tan(x y)=y (a) 1 (b) 2 (c) 4 (d) 6

Prove that (sin (x +y) )/( sin (x-y)) = (tan x + tan y)/( tan x - tan y).

Prove that (sin (x +y) )/( sin (x-y)) = (tan x + tan y)/( tan x - tan y).