Home
Class 12
MATHS
Considering only the principal values, i...

Considering only the principal values, if tan `("cot"^(-1) x)=sin ("cot"^(-1) 1/2)`, then x is :

A

`(1)/(sqrt(5))`

B

`(2)/(sqrt(5))`

C

`(3)/(sqrt(5))`

D

`(sqrt(5))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos
  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

cos[tan^(-1) {sin(cot^(-1) x)}] =

Find the principal value of cot^(-1) (-1/sqrt3)

The value of sin (cot^(-1)x) is :

cos [ tan^(-1){sin (cot^(-1)x)}] =

If sin ^(-1) x+cot ^(-1) (1)/(2)=(pi)/(2), then x=

The value of cot ("cosec"^(-1) 5/3 +"tan"^(-1) 2/3) is :

The value of cot (sin ^(-1) x) is

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

The value of x for which sin (cot^(-1) (1+x))=cos (tan^(-1) x) is :

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. The equation 2 cos ^(-1) x+sin ^(-1) x=(11 pi)/(6) has

    Text Solution

    |

  2. If sin ^(-1) x+cos ^(-1)(1-x)=0 then x=

    Text Solution

    |

  3. Considering only the principal values, if tan ("cot"^(-1) x)=sin ("cot...

    Text Solution

    |

  4. If 2 tan ^(-1) (1)/(2)+sin ^(-1) x=(pi)/(2) then x=

    Text Solution

    |

  5. The only integer (s) satisfying sin ^(-1) x+sin ^(-1)(1-x)=cos ^(-1) x

    Text Solution

    |

  6. sin ^(-1) (5)/(x)+sin ^(-1) (12)/(x)=(pi)/(2) then x=

    Text Solution

    |

  7. If cos^(-1) x = cot^(-1) ""4/3 + tan^(-1)""1/7, the x =

    Text Solution

    |

  8. If 3 tan ^(-1)((1)/(2+sqrt(3)))-tan ^(-1) (1)/(x)=tan ^(-1) (1)/(3) th...

    Text Solution

    |

  9. Solution of tan ^(-1)(1+x)+tan ^(-1)(1-x)=(pi)/(2) is

    Text Solution

    |

  10. sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=

    Text Solution

    |

  11. The value of tan^(2) (sec^(-1) 2) + cot^2 ("cosec"^(-1) 3) is :

    Text Solution

    |

  12. The value of , sec ^(-1)((x)/(a))-sec ^(-1)((x)/(b))=sec ^(-1) b-sec...

    Text Solution

    |

  13. sin ^(-1)[cos (sin ^(-1) x)]+cos ^(-1)[sin (cos ^(-1) x)]=

    Text Solution

    |

  14. If (cos ^(-1) x)^(2)-(sin ^(-1) x)^(2) gt 0 then

    Text Solution

    |

  15. If x ge 1 then 2 tan ^(-1) x+sin ^(-1)((2 x)/(1+x^(2)))=

    Text Solution

    |

  16. If x=sin^(-1) k, y=cos^(-1) k, -1 le k le 1, then the correct relation...

    Text Solution

    |

  17. If sin ^(-1) x=(pi)/(5) then cos ^(-1) x=

    Text Solution

    |

  18. If sin^(-1) ((2a)/(1 +a^(2))) + sin^(-1) ((2b)/(1 + b^(2))) = 2tan^(-1...

    Text Solution

    |

  19. If tan ^(-1) x-tan ^(-1) y=-(pi)/(4) then

    Text Solution

    |

  20. If sum(i=1)^(20) sin ^(-1) x(l)=10 pi then sum(i=1)^(20) x(i)=

    Text Solution

    |