Home
Class 12
MATHS
[cot^(-1)x][cos^(-1) x] =0 where x is no...

`[cot^(-1)x][cos^(-1) x]` =0 where x is non negative and [.] is he greatest integer function then the value of x is / are

A

(cos1,1]

B

(cos 1, cos 1)

C

(cot 1,1]

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

  • INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Illustration|1 Videos

  • LIMITS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If [sin^(-1)x]+[cos^(-1)x]=0, where 'x' is a non negative real number and [.] denotes the greatest integer function,then complete set of values of x is -(A)(cos1,1)(B)(-1,cos1) (C) (sin1,1)(D)(cos1,sin1)

If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer functions, then the complete set of values of x is (cos1,1) (b) cos1,cos1) (cot1,1) (d) none of these

Sove [cot^(-1) x] + [cos^(-1) x] =0 , where [.] denotes the greatest integer function

Solve If [cos^(-1)x]+[cot^(-1)x]=0, where [.] denotes the greatest integer function, then the complete set of values of x is.

Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer function. Then the

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

If f(x)=cos[pi^(2)]x+cos[-pi^(2)]x , where [x] stands for the greatest integer function, then

Find x satisfying [tan^(-1)x]+[cot^(-1)x]=2 where [| represents the greatest integer function.

int_(1)^(10pi)([sec^(-1)x]+[cot^(-1)x])dx , where [.] denotes the greatest integer function, is equal to:

Equation [cot^(-1) x] + 2 [tan^(-1) x] = 0 , where [.] denotes the greatest integer function, is satisfied by

OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. If x lt -(1)/sqrt(3) , then tan^(-1)(3x-x^(3))/(1-3x^(2)) equals

    Text Solution

    |

  2. If 0 le x lt oo, then cos^(-1)((1-x^(2))/(1+x^(2))) equals

    Text Solution

    |

  3. If -oo lt x le 0 then cos ^(-1)((1-x^(2))/(1+x^(2)))equals

    Text Solution

    |

  4. If x in [-1,1] then sin^(-1)((2x)/(1+x^(2))) equals

    Text Solution

    |

  5. If x in (1,oo) then sin^(-1)((2x)/(1+x^(2))) equals

    Text Solution

    |

  6. If x in (-oo,-1) then sin^(-1)((2x)/(1+x^(2))) equals

    Text Solution

    |

  7. If sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))=4 tan^(-1) x...

    Text Solution

    |

  8. If 2tan^(-1)x+sin^(-1)((2x)/(1+x^2) ) is independent of x then :

    Text Solution

    |

  9. If tan^(-1) x + tan^(-1)y + tan^(-1)z= pi then x + y + z is equal to

    Text Solution

    |

  10. The value of cos(tan^-1 (tan 2)) is

    Text Solution

    |

  11. If sec^(-1)x=cosec^(-1) y then cos^(-1)(1/x)+cos^(-1)(1/y)=

    Text Solution

    |

  12. Let cos(2 tan^(-1) x)=1/2 then the value of x is

    Text Solution

    |

  13. If tan^(-)(x/(pi))lt (pi)/(3) ,x in N then the maximum vlaue of x is

    Text Solution

    |

  14. Range of the function f (x) = cos^-1 (-{x}), where {.} is fractional ...

    Text Solution

    |

  15. sec^(-1)(sin x) exist if

    Text Solution

    |

  16. The value of cot(pi/4-2 cot^(-1)3) is

    Text Solution

    |

  17. [cot^(-1)x][cos^(-1) x] =0 where x is non negative and [.] is he great...

    Text Solution

    |

  18. The sum of the series cot^-1 2 + cot^-1 8 +cot^-1 18+cot^-1 32...........

    Text Solution

    |

  19. If cos^(-1)(x)/(2)+cos^(-1)(y)/(3)=theta then the maximum of 9x^(2)-12...

    Text Solution

    |

  20. If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi, Prove xsqrt(1-x^2)+ysqrt(1-y^2)+z...

    Text Solution

    |