Home
Class 12
MATHS
The range of the following function is f...

The range of the following function is `f(x)=sqrt((1-cosx)sqrt((1-cosx)sqrt((1-cosx)sqrt(...oo))))` (a)(0,1) (b) `(0,1/2)` (c) `[0,2]` (d) `non eoft h e s e`

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

Find the range of the following function f(x)=log_2"((sinx-cosx+3sqrt2)/sqrt2)

The domain of the function f(x)=(1)/(sqrt(|cosx|+cosx)) is

Write the following function in the simplest form : tan^(-1)(sqrt((1-cosx)/(1+cosx))),0ltxltpi

Draw the graph of y=f(x)=sqrt(1-cosx)

Differentiate the following functions : "cosec"^-1(e^(2cosx))

Prove that tan^(-1) {(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cos x)-sqrt(1-cosx))}=pi/4+x/2

Integrate the functions (cosx)/(sqrt(1+sinx))

tan ^(-1) ""{(sqrt(1+cos x)+sqrt(1-cos x)}/{sqrt(1+cosx)-sqrt(1-cos x)}}=(pi)/(4)+(x)/(2) , 0 lt x lt (pi)/(2)

Evaluate: int_(0)^((pi)/(2))(sqrt(cosx))/(sqrt(sinx)+sqrt(cosx))dx

Evaluate: inttan^(-1){sqrt(((1-cosx)/(1+cosx)))}

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the domain of the following functions: f(x)=sqrt(x-sqrt(1-x^2))

    Text Solution

    |

  2. If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest inte...

    Text Solution

    |

  3. The range of the following function is f(x)=sqrt((1-cosx)sqrt((1-cosx)...

    Text Solution

    |

  4. Find the range of f(x)=sgn(x^2-2x+3)

    Text Solution

    |

  5. Check whether the function h(x)=(sqrt(sinx)-sqrt(t a nx))(sqrt(sinx)+s...

    Text Solution

    |

  6. The sum of roots of the equation cos^(-1)(cosx)=[x],[dot] denotes the ...

    Text Solution

    |

  7. Find the range of f(x)=[sin{x}], where {} represents the fractional pa...

    Text Solution

    |

  8. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

    Text Solution

    |

  9. If f(x)=sin(log)e{(sqrt(4-x^2))/(1-x)} , then the domain of f(x) is a...

    Text Solution

    |

  10. Solve the following 1lt=|x-2|lt=3

    Text Solution

    |

  11. if f(x)={x^3+x^2, for 0<=x<=2 x + 2,for2<x<=4 ,t h e n find the even a...

    Text Solution

    |

  12. There are exactly two distinct linear functions, and , which map [...

    Text Solution

    |

  13. Solve the following 0<|x-3|lt=5

    Text Solution

    |

  14. If f is even function defined on the interval (-5, 5), then real value...

    Text Solution

    |

  15. Find the period of following function f(x)=e^(ln(sinx))+tan^3x-"cosec...

    Text Solution

    |

  16. Solve the following |(2x-1)/(x-1)|gt2

    Text Solution

    |

  17. Find the fundamental period of f(x)=cosxcos2xcos3xdot

    Text Solution

    |

  18. If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1, then

    Text Solution

    |

  19. Solve the following |(x-3)/(x+1)|lt=1

    Text Solution

    |

  20. The domain of the function f(x)=sin^(-1)((8(3)^(x-2))/(1-3^(2(x-1)))) ...

    Text Solution

    |