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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|11 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Find the value of, cos [tan^(-1) {sin (cot^(-1)x)}]

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

Find the value of the expression sin[cot^(-1){cos(tan^11)}]

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

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

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

Solve: sin[2\ cos^(-1){cot(2\ tan^(-1)x)}]=0

OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. about to only mathematics

    Text Solution

    |

  2. The value of cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx) -sqr...

    Text Solution

    |

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

    Text Solution

    |

  4. If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4ta...

    Text Solution

    |

  5. If A=tan^(-1)((x sqrt(3))/(2k-x)) and B= tan^(-1)((2x-k)/(k sqrt(3))),...

    Text Solution

    |

  6. Solve sin^(-1) x + sin^(-1) (1 - x) = cos^(-1) x

    Text Solution

    |

  7. If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  8. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

    Text Solution

    |

  9. sin^(-1)(sin10) is a+bpi then |a+b| is

    Text Solution

    |

  10. The value of tan^(-1)1+tan^(-1)2+tan^(-1)3 is :

    Text Solution

    |

  11. The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) p...

    Text Solution

    |

  12. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

    Text Solution

    |

  13. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are (...

    Text Solution

    |

  14. If a le 1/32 then the number of solution of (sin^(-1) x)^(3) +(cos^(...

    Text Solution

    |

  15. If x takes negative permissible value then sin^(-1)x=

    Text Solution

    |

  16. If -1 le x le -(1)/sqrt(2) then sin^(-1)2xsqrt(1-x^(2)) equals

    Text Solution

    |

  17. If (1)/sqrt(2) le x le 1 then sin^(-1) 2xsqrt(1-x^(2)) equals

    Text Solution

    |

  18. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  19. If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  20. If -1/2 le x le 1/2 then sin^(-1)3x-4x^(3) equals

    Text Solution

    |