यदि `-(1)/(sqrt2)lexle1`, तो सिद्ध करे कि
`tan^(-1)""(sqrt(1+x)-sqrt(x-1))/(sqrt(1+x)+sqrt(1-x))=(pi)/(4)-(1)/(2)cos^(-1)x.`

Answer

`=(pi)/(4)-theta=(pi)/(4)-(1)/(2).cos^(-1)x`.