Home
Class 12
MATHS
If a le tan ^(-1) x+cot ^(-1) x+sin ^(-1...

If `a le tan ^(-1) x+cot ^(-1) x+sin ^(-1) x le b` then

A

`a,=0, b=pi`

B

`b=(pi)/(2)`

C

`a=(pi)/(4)`

D

`a=(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

If 0 le x le 1 and theta = sin^(-1) x + cos^(-1) x - tan^(-1) x , then

If alpha le 2 sin^(-1) x + cos^(-1) x le beta , then

If a + (pi)/(2) lt 2 tan^(-1) x + 3 cot^(-1) x lt b then ‘a’ and ‘b’ are respectively

If alpha lt 2 sin^(-1) x +cos^(-1)x le beta , then

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

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

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

If 3 "tan^(-1)x+cot^(-1)x-=pi then x equal to

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. cot ^(-1) 3+sec ^(-1) (sqrt(5))/(2)=

    Text Solution

    |

  2. tan ^(-1) x gt cot ^(-1) x, holds for

    Text Solution

    |

  3. If a le tan ^(-1) x+cot ^(-1) x+sin ^(-1) x le b then

    Text Solution

    |

  4. If x(1)=2 tan ^(-1)((1+x)/(1-x)), x(2) m sin ^(-1)((1-x^(2))/(1+x^(2))...

    Text Solution

    |

  5. If (tan ^(-1) x)^(2)+(cot ^(-1) x)^(2)=(5 pi^(2))/(8), then x=

    Text Solution

    |

  6. The value of sin ^(-1)[cos (cos ^(-1)(cos x)+sin ^(-1)(sin x))] where...

    Text Solution

    |

  7. If -1ltxlt0, then sin ^(-1) x=

    Text Solution

    |

  8. sin ^(-1)[cot ((sin ^(-1) sqrt((2-sqrt(3))/(4)))+cos ^(-1) (sqrt(12))/...

    Text Solution

    |

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

    Text Solution

    |

  10. The value of cos ^(-1) sqrt((2)/(3))-cos ^(-1) (sqrt(6)+1)/(2 sqrt(3))...

    Text Solution

    |

  11. The value of tan ^(-1) sqrt((a lambda)/(b c))+tan ^(-1) sqrt((b lambda...

    Text Solution

    |

  12. tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is

    Text Solution

    |

  13. sin ^(-1)(1-x)-2 sin ^(-1) x=(pi)/(2), then x is equal to

    Text Solution

    |

  14. Solve the following equations : sin(tan^(-1)x),|x|lt1 equal to

    Text Solution

    |

  15. The principal value branch of sec ^(-1) x is

    Text Solution

    |

  16. Which of the following corresponds to the principal value branch of ta...

    Text Solution

    |

  17. Write the principal value branch of cos^(-1)x

    Text Solution

    |

  18. Which of the following is the principal value branch of cosec^(-1) x ?

    Text Solution

    |

  19. Write the principal value branch of cos^(-1)x

    Text Solution

    |

  20. The value of sin^(-1)(cos ((43pi)/5)) is :

    Text Solution

    |