Home
Class 12
MATHS
If f(x)=cos[pi^2]x +cos[-pi^2]x , where ...

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

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

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

If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest integer function, then the value of f((pi)/(2)) is-

If f(x)= cos [ pi^(2)] x+ cos[ -pi^(2)] x where [x] denotes the greatest integer function, then show that f(-pi)=0

If f(x)=cos[pi^2]x+cos[-pi^2]x where [x] denotes the greatest integer function, then show that f(pi//4)=1/sqrt2

If f(x)= cos [ pi^(2)] x+ cos[ -pi^(2)] x where [x] denotes the greatest integer function, then show that f((pi)/(4)) =(1)/(sqrt(2))

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

If f: R rarr R is a function defined by f(x)=[x]cos((2x-1)/2)pi , where [x] denotes the greatest integer function, then f is

If f:RR to RR is a function defined by f(x)=[x]cos((2x-1)/(2))pi , where [x] denotes the greatest integer function, then f is-

If f(x)=sin([x]pi)/(x^2+x+1) where [.] denotes the greatest integer function, then (A) f is one-one (B) f is not one-one and not constant (C) f is a constant function (D) none of these

Let f(x)=[sinx + cosx], 0ltxlt2pi , (where [.] denotes the greatest integer function). Then the number of points of discontinuity of f(x) is :

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the period of f(x)="sinx+tan"x/2+"sin"x/2^2"tan"x/2^3+...+"sin"x/...

    Text Solution

    |

  2. The domain of the function f(x)=sin^(-1)(x-3)/sqrt(9-x^2) is

    Text Solution

    |

  3. If f(x)=cos[pi^2]x +cos[-pi^2]x , where [x] stands for the greatest in...

    Text Solution

    |

  4. Find the period of f(x)=sin((pix)/(n !))-cos((pix)/((n+1)!))

    Text Solution

    |

  5. Find the domain of the function: f(x)=(sin^(-1)x)/x

    Text Solution

    |

  6. If f(x)=3x-5, then f^(-1)(x) is given by (a) 1/((3x-5)) (b) ((x+5))...

    Text Solution

    |

  7. If f(x)=(1−x)^(1/2) and g(x)=ln(x) then the domain of (gof)(x) is

    Text Solution

    |

  8. Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

    Text Solution

    |

  9. Find the natural no. a for which sum (k=1)^nf(a+k)=16(2^n-1) where the...

    Text Solution

    |

  10. Let f(x)=tanx a n d g(f(x))=f(x-pi/4), where f(x)a n dg(x) are real ...

    Text Solution

    |

  11. Find the range of f(x)=tan^(-1)sqrt((x^2-2x+2))

    Text Solution

    |

  12. The domain of f(x) is (0,1) Then the domain of (f(e^x)+f(1n|x|) is (...

    Text Solution

    |

  13. If f(x)=3x-2a n d(gof)^(-1)(x)=x-2, then find the function g(x)dot

    Text Solution

    |

  14. Find the range of f(x)=sqrt(cos^(-1)sqrt((1-x^2))-sin^(-1)x)

    Text Solution

    |

  15. The domain of f(x)=1/(sqrt(|cosx|+cosx)) is

    Text Solution

    |

  16. If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x)...

    Text Solution

    |

  17. Find the domain of the function: f(x)=cos^(-1)((6-3x)/4)+cos e c^(-1)(...

    Text Solution

    |

  18. If f(2x+3y, 2x-7y)=20x, then f(x,y) equals :

    Text Solution

    |

  19. Solve the equation x^2-x+1=1/2+sqrt(x-3/4), w h e r e xgeq3/4

    Text Solution

    |

  20. Find the domain of the function: f(x)=sqrt(sec^(-1)((2-|x|)/4))

    Text Solution

    |