Home
Class 12
MATHS
Range of f(x) =[1+sinx]+[cosx-1]+[tan^(-...

Range of `f(x) =[1+sinx]+[cosx-1]+[tan^(- 1)x]` `AA x in [0,2pi]` where [] denotes the greatest integer function is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Range of f(x)=[1+sin x]+[cos x-1]+[tan^(-1)x]AA x in[0,2 pi] where [1 denotes the greatest integer function is

The range of the function f(x)=cosec^(-1)[sinx] " in " [0,2pi] , where [*] denotes the greatest integer function , is

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

f(x)=[tan^(-1)x] where [.] denotes the greatest integer function, is discontinous at

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

If f(x)=([x])/(|x|),x ne 0 where [.] denotes the greatest integer function, then f'(1) is

If f(x)=([x])/(|x|), x ne 0 , where [.] denotes the greatest integer function, then f'(1) is

f(x)=1+[cos x]x in 0<=x<=(pi)/(2) (where [.] denotes greatest integer function)

Let f(x)=sin(tan^(-1)x). Then [f(-sqrt(3))] where [*] denotes the greatest integer function,is

f(x)=[abs(sinx)+abs(cosx)] , where [*] denotes the greatest integer function.

RESONANCE DPP-JEE MAINS-All Questions
  1. Number of solutions of the equation, cot^(-1)(x^2+1)=sin^(-1)|x| (a)...

    Text Solution

    |

  2. If the difference of the roots of the equation, x^2+p x+q=0 be unity,...

    Text Solution

    |

  3. Range of f(x) =[1+sinx]+[cosx-1]+[tan^(- 1)x] AA x in [0,2pi] where []...

    Text Solution

    |

  4. If -3+5i is a root of the equation x^2+p x+q=0 , then the ordered pair...

    Text Solution

    |

  5. Number of real solutions of the equation x^2+(x/(x-1))^2=8 are 3 (b) 4...

    Text Solution

    |

  6. (p ^^ ~ q)vv q is logical equivalent to (a) p vv q (b) ~P (c) p (d) ~q

    Text Solution

    |

  7. The equation of the image of the circle x^2+y^2+16 x-24 y+183=0 in the...

    Text Solution

    |

  8. Equation of straight liens joining the origin and points of interse...

    Text Solution

    |

  9. Which of the following function is not periodic, where [.] denotes g...

    Text Solution

    |

  10. Which of the following is false? (p=&gt;q)hArr(~ a=&gt;~ p) b. pvv...

    Text Solution

    |

  11. ABC is a triangle. The coordinates of whose vertices are (-2,4),(10 ,-...

    Text Solution

    |

  12. If : A=[1 2 0-1 1 2 2-1 1],t h e nA d j(A)= [3 5-1-2 1 5 4-2 3] (b) ...

    Text Solution

    |

  13. Which of the following is false? (p=>q)hArr(~ a=>~ p) b. pvv(~ p) is ...

    Text Solution

    |

  14. If A=[1ta n x-t a n x1],t h e nA^T A^(-1) is [ cos2x s in2x-s in2x cos...

    Text Solution

    |

  15. If |x3 6 3 6x6x3|=|2x7x7 2 7 2x|=|4 5x5x4x4 5|=0,t h e n^(prime)x^(pri...

    Text Solution

    |

  16. The matrix X for which [1-4 3-2]X=[-16-6 7 2] [-2 4-3 1] (b) [-1/5 ...

    Text Solution

    |

  17. The inverse of a skew symmetric matrix of odd order is 1)a symmetric ...

    Text Solution

    |

  18. If Aalpha=[cosalphasinalpha-sinalphacosalpha],t h e nAalphaAbeta= (...

    Text Solution

    |

  19. A parabola with vertex (2, 0) and axis of symmetry parallel to the ...

    Text Solution

    |

  20. The range of the function f(x) = sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

    Text Solution

    |