`tan^(-1)""(cos x)/(1+sin x),-pi/ 2 lt x lt pi/2` को सरलतम रूप में लिखिए

Solve : tan^(-1)((cos x)/(1+sin x)) , -(pi)/(2) lt x lt (pi)/(2)

Express tan^(-1) ((cos x )/( 1- sin x) ) , ( -3 pi)/(2) lt x lt (pi)/(2) in the simplest form

Evaluate int tan^(-1) { sqrt((1-sin x)/(1+ sin x ))} dx , -pi/2 lt x lt pi/2

Differentiate tan^(-1) sqrt((1-cos x)/(1 + cos x)), - (pi)/(4) lt x lt (pi)/(4)

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

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

cos^(-1)((sin x+cos x)/(sqrt(2))),(pi)/(4) lt x lt (5pi)/4

Differentiate tan^(-1) (sec x + tan x), -(pi)/(2) lt x lt (pi)/(2)