[" If "y=sin(sin x)" prome that "],[y_(2)+tan x*y_(1)+y cos^(2)x=0]

If y= sin (sin x) then y _(2) + (tan x) y _(1) + y (cos ^(2) x)=

If y=sin(sin x), prove that (d^(2)y)/(dx^(2))+tan x(dy)/(dx)+y cos^(2)x=0

If y =a cos (sin x) + b sin (sin x) then y _(2) + (tan x) y_(1)=

If y= sin (sin x) then show that, (d^(2)y)/(dx^(2)) + (tan x) (dy)/(dx) + y cos^(2)x = 0

If cos x + cos y =(1)/(3) and sin x + sin y=(1)/(4) prove that tan ((x+y)/(2))=(3)/(4)

If (cos ^ (4) x) / (cos ^ (2) y) + (sin ^ (4) x) / (sin ^ (2) y) = 1 then prove that (cos ^ (4) y) / (cos ^ (2) x) + (sin ^ (4) y) / (sin ^ (2) x) = 1

(sin x + sin y) / (sin x-sin y) = tan ((x + y) / (2)) * cot ((xy) / (2))

(sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)