Home
Class 11
MATHS
If [cot^-1x]+[cos^-1x]=0, where x is a n...

If `[cot^-1x]+[cos^-1x]=0`, where x is a non-negative real number and [ ] denotes the greatest integer function, then complete set of value of x is

A

(cos1, 1)

B

(cot1, 1)

C

(cos1, cot1)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos
  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

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

Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

If [x+[2x]] lt3 , where [.] denotes the greatest integer function, then x is

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

[x] denote the greatest integer function. The value of int_(1)^(a)[x]f^(')(x)dx,agt1 is-

Draw the graph of y=[|x|] , where [.] denotes the greatest integer function.

I=int_0^2x[2x]dx where [.] denotes the greatest integer function then the value of 16/17I must be

If the function f(x)=[3.5 + b sin x] (where[.] denotes the greatest integer function) is an even function then complete set of values of 'b' is :

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )

If [dot] denotes the greatest integer function, then find the value of lim_(x->0) ([x]+[2x]++[n x])/(n^2)

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. General solution of theta satisfying the equation tan^2theta+sec2theta...

    Text Solution

    |

  2. The solution of the inequality log(1//2)sinx gt log(1//2)cosx in [0, 2...

    Text Solution

    |

  3. If [cot^-1x]+[cos^-1x]=0, where x is a non-negative real number and [ ...

    Text Solution

    |

  4. The set of values of x satisfying abs(sin^-1x) lt abs(cos^-1x), is

    Text Solution

    |

  5. The number of real solutions of tan(5picosalpha)=cot(5pisinalpha), alp...

    Text Solution

    |

  6. If x+y=pi/4 and tanx+tany=1, then

    Text Solution

    |

  7. The number of solution of the equation 2tanx+x=(12pi)/5 in the interva...

    Text Solution

    |

  8. The value of cos^-1(cos5) is

    Text Solution

    |

  9. If x1, x2, x3, x4 are roots of the equation x^4-x^3sin2beta+x^2cos2bet...

    Text Solution

    |

  10. If x+1/x=2, the principle value ot sin^-1x is

    Text Solution

    |

  11. If cos^-1x+cos^-1y+cos^-1z=3pi, then xy+yz+zx is equal to

    Text Solution

    |

  12. If 1-tanx/1+tanx=tany and x-y=pi/6, then x, y are respectively

    Text Solution

    |

  13. If cos^4x+4sin^4x=1, then general value of x equals to

    Text Solution

    |

  14. The equation sinx=[1+sinx]+[1-cosx] has [where [.] is greatest integer...

    Text Solution

    |

  15. The equation 8x^3-6x+sqrt3=0 is satisfied by

    Text Solution

    |

  16. Number of values of theta which satisfy sin^2theta-2sin^2theta-1=0 is

    Text Solution

    |

  17. Which of the following is true?

    Text Solution

    |

  18. theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta}, if

    Text Solution

    |

  19. sec(cosec^-1x) is equal to

    Text Solution

    |

  20. The solution of the equation sin[2cos^-1{cot(2tan^-1x)}] = 0 are

    Text Solution

    |