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

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

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

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

Prove that tan^-1((cosx)/(1+sinx))=pi/4-x/2,\ x in (-pi/2,pi/2)

Prove that tan^(-1)((cosx)/(1+sinx))=pi/4-x/2x in [-pi/2,pi/2]

Prove that : tan^-1((cosx)/(1+sinx)) = pi/4 - x/2, x in (-pi/2,pi/2)

Prove that (cos x)/((1- sin x)) = tan .((pi)/(4) + (x)/(2))

tan^(-1)[(cos x)/(1+sin x)] is equal to (pi)/(4)-(x)/(2), for x in(-(pi)/(2),(3 pi)/(2))(pi)/(4)-(x)/(2), for x in(-(pi)/(2),(pi)/(2))(pi)/(4)-(x)/(2), for x in(-(pi)/(2),(pi)/(2))(pi)/(4)-(x)/(2), for x in(-(3 pi)/(2),(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)),-pi/2