Prove that : `(sin x + sin y)/(sin x - sin y) = tan ((x+y)/2).cot ((x-y)/2)`

AI Generated Solution

Similar Questions

Explore conceptually related problems

Prove that : (sin x - sin y)/(cos x + cos y) = tan ((x-y)/2)

Prove that : (sin x + sin y)/(cos x + cos y) = tan ((x+y)/2)

Prove that : (cos x - cos y)^(2) + (sin x - sin y)^(2) = 4 sin^(2) ((x - y)/(2))

Prove that : (cos x + cos y)^2 + (sin x - sin y)^2 = 4 cos^2\ (x+y)/2

Prove that : (sin (x+y))/(sin (x-y) )= (sin x. cos y + cos x . Sin y)/(sin x. cos y-cos x. sin y)

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

Prove that sin (x + y ) sin (x -y) + sin ( y+ z) sin (y - z) + sin (z+x) sin (z-x) = 0.

Prove that (sin(x+y))/(sin(x-y))=(tanx+tany)/(tanx-tany)

Prove that: sin(x+y)/sin(x-y)=(tanx+tany)/(tanx-tany)

If sin x + sin y = 1/2 and cos x + cos y = 1 then tan (x + y)