" (iii) "tan^(-1)((a cos x-b sin x)/(b cos x+a sin x)),(a)/(b)tan x>-1

Simplify tan^(-1)[(a cos x-b sin x)/(b cos x+a sin x)], if (a)/(b)tan x>-1

y=tan^(-1)((a cos x-b sin x)/(b cos x+a sin x)), where -(pi)/(2) -1

Simplify tan^(-1) [(a cos x -b sin x)/(b cos x +a sin x)] , if (a)/(b) tan x gt -1 .

tan^(-1)((cos x)/(1-sin x))

"If "y=tan^(-1)((a cos x- b sin x)/(b cos x + a sin x)), (b/a)tanx lt 1"where "-(pi)/(2)ltxlt(pi)/(2)" then find "(dy)/(dx).

Simplify tan ^(-1)[(a cos x-b sin x)/(b cos x+a sin x)] if, a/b tan xgt(-1)

Differentiate, tan^(-1) ((a cos x- b sin x)/(b cos x + a sin x)), (-pi)/(2) lt x lt (pi)/(2) and (a)/(b) tan x gt -1

tan^(-1)((cos x)/(1+sin x))

tan^(-1)((1-cos x)/(sin x))