" (2) "tan^(-1)((cos^(2)x-sin x)/(cos x+tan x))*(-pi)/(4)+x+(3 pi)/(4)

Write the following functions in the simplest form : tan^(-1)((cos x -sin x)/(cos x + sin x)), -pi/4 lt x lt (3pi)/4

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

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

solve: tan^(-1) ((cos x)/(1-sin x)) = ((pi)/(4)+(x)/(2)) , (-3 pi)/(2)ltxlt(pi)/(2)

Prove that tan^(-1)((cos x)/(1+sin x))=(pi)/(4)-(x)/(2),|x in(-(pi)/(2),(pi)/(2))

Express 'tan ^(^^)(-1)((cos x)/(1-sin x)),-pi/2

Differentiate 'tan^(^^)(-1){(cos x+sin x)/(cos x-sin x)},|-pi/4

If f (x) = sqrt(cos ec ^(2) x - 2 sin x cos x - (1)/(tan ^(2) x )) x in ((7pi)/(4), 2pi ) then f' ((11 pi)/(6))=