[" Write "tan^(-1)((a cos x-b sin x)/(b cos x+a sin x)),-(pi)/(2)-1],[" in simplat frim "]

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

tan ^ (- 1) ((cos x-sin x) / (cos x + sin x)) = (pi) / (4) -x

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

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

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

If y= tan ^(-1) ((a cos x- b sin x )/(b cos x + a sin x ) ) , then (dy)/(dx) is :

simplify : tan^(-1) ""((a cos x- b sin x )/(b cos x + a sin x ) ) (- pi )/(2) lt x lt pi/2 , a/b tan x gt -1