The value of sin{cot^(-1)[cos(cot^(-1)((...

The value of `sin{cot^(-1)[cos(cot^(-1)((1)/(x)))]}` is equal to `(x gt0)`

A

`sqrt((1+x^(2))/(2+x^(2)))`

B

`sqrt((1-x^(2))/(2+x^(2)))`

C

`sqrt((1+x^(2))/(2-x^(2)))`

D

`sqrt((2+x^(2))/(1+x^(2)))`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

The value of sin[cot^(-1){cos(tan^(-1) x)}] is

The value of cot [sin^(-1){cos(tan^(-1)1)}] is

Evaluate: sin(cot^(-1)x)

tan(cot^(-1)x) is equal to

The value of sin\ (1/2cot^(-1)(-3/4))+cos(1/2cot^(-1)(-3/4)) is/are equal to-

The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a) cot^(-1)x (b) cot^(-1)1/x (c) tan^(-1)x (d) none of these

The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to cot^(-1)x (b) cot^(-1)1/x tan^(-1)x (d) none of these

Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)