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

AI Generated Solution

Similar Questions

Explore conceptually related problems

Prove that : (sin x + sin 3x)/(cos x + cos 3x) = tan 2x

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

Prove that: (sin5x+sin3x)/(cos5x+cos3x)=tan4x

Prove that (sin 5x - 2 sin 3 x + sin x )/( cos 5 x - cos x ) = tan x

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

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

If y = (cos x - sin x)/( cos x + sin x ) , "then " (dy)/(dx)

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

Prove that : (cos 4x sin 3x - cos 2x sin x)/(sin 4x .sin x + cos 6x .cos x) = tan 2x

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