`logsqrt((1-cos x)/(1+cos x))`

The value of lim_(x rarr0)(1)/(x^(2))sqrt((1-cos2x)/(1+cos2x))sqrt((1-cos x)/(1+cos x)) is equal to

tan ^(-1)(sqrt((1-cos 3 x)/(1+cos x)))

(v) tan^(-1)sqrt((1+cos x)/(1-cos x))

arctan^(-1)((cos x)/(1-sin x))-cos^(-1)(sqrt((1+cos x)/(1-cos x)))=(pi)/(4),x in(0,(pi)/(2))

tan^(-1){(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))}

Simplest form of tan^(-1)((sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))), pi lt x lt (3 pi)/(2) is:

Prove that: (i)tan^(-1){(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))}=(pi)/(4)+(x)/(2)

Prove that: tan^(^^)(-1){(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))}=pi/4-x/2, if pi

If pi

If y=logsqrt((1-cos((3x)/(2)))/(1+cos ((3x)/(2)))),"then "dy/dx=