" (3) "quad tan^(-1)((cos^(2)x)/(1-sin x))_(" simplest "),(pi)/(2)

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

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

The derivative of tan^(-1)((sin x-cos x)/(sin x+cos x)) with respect to (x)/(2), where x in(0,(pi)/(2)) is:

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

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