Home
Class 12
MATHS
The value of cos [tan^-1 {sin (cot^-1 x)...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE WORKOUT ( CATEGORY 3 : One or More than One Option Correct Type (2 Marks))|10 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|1 Videos

  • LIMITS AND CONTINUITY

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|2 Videos

Similar Questions

Explore conceptually related problems

cos[tan^(-1){sin(cot^(-1)x)}] is equal to

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

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

If x gt 0 then the value of sin [cot ^(-1) cos( tan^(-1)x)] is equal to-

Prove that cos (tan^(-1) (sin (cot^(-1) x))) = sqrt((x^(2) + 1)/(x^(2) + 2))

The value of sin cot^(-1)tan cos^(-1)x is equal to:

Prove that cos [tan^(-1){(sin(cot^(-1)x}] =((x^(2)+1)/(x^(2)+2)) ^(1/2)

Prove the following: cos{tan^(-1){sin(cot^(-1)x)}}=sqrt((1+x^(2))/(2+x^(2)))

The number values of x if cos(tan^(-1)(1+x))=sin(cot^(-1)x) is/are