यदि ` y=tan ^(-1) sqrt((1-cos x)/(1+cos x )),` तब सिद्ध कीजिये की ` (dy)/(dx) =(1)/(2)`

Explanation

`y= tan ^(-1)sqrt((1-cos x )/(1+cos x ) )=tan ^(-1) sqrt((2sin x//2)/(2cos ^(2)x//2))`
` =tan ^(-1) (tan ""(x)/(2))=(x)/(2) rArr (dy)/(dx) =(1)/(2)`