[" 6.Prove that "],[tan^(-1)[(cos x)/(1+sin x)]=(pi)/(4)-(x)/(2)],[" [CBSE 2012,M.P "]

Similar Questions

Explore conceptually related problems

prove that cot^(-1)[(cos x+sin x)/(cos x-sin x)]=(pi)/(4)-x

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

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

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

Prove that int_(0)^(pi//2) tan^(-1)(sin x) .sin 2x = (pi)/(2)-1

Prove that : sin^(-1)x+cos^(-1)x=(pi)/(2)

Prove that : (1-sin2x)/(1+sin2x)= tan^2 (pi/4-x) .