The value of expression tan^(- 1)((sqrt(...

The value of expression `tan^(- 1)((sqrt(2))/2)+sin^(- 1)((sqrt(5))/5)-cos^(- 1)((sqrt(10))/10)`

A

`cot^(-1) ((1+sqrt2)/(1-sqrt2))`

B

`cot^(-1) ((sqrt2 + 1)/(sqrt2-1))`

C

`- pi + cot^(-1) ((1+sqrt2)/(1 - sqrt2))`

D

`pi - cot^(-1) ((1-sqrt2)/(1 + sqrt2))`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The value of the expression tan(1/2"cos"^(-1)2/sqrt5) is

The value of the expression tan(1/2cos^(-1)""2/sqrt5) is

sin ^(-1) (1)/(sqrt(5))+cot ^(-1) 3=

The value sin^(-1) ((2sqrt(2))/3) +sin^(-1)(1/3) is equal to

tan(cos^(-1)(1/(5sqrt2))-sin^(-1) (4/sqrt17)) is

tan(cos^(-1)(1)/(5sqrt(2))-sin^(-1)(4)/sqrt(17)) is

The value of sin [(2 cos^(-1))(sqrt5)/(3)] is

The value of sin^(-1) ((2 sqrt2)/(3)) + sin^(-1) ((1)/(3)) is equal to