Home
Class 12
MATHS
Find the domain and range of f(x) = sin...

Find the domain and range of `f(x) = sin^-1 (log [x]) + log (sin^-1 [x])`, where [.] denotes the greatest integer function.

A

R

B

[1,2]

C

`{log"pi/2}`

D

`{-"sin" 1}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 1: (CONCEPT BUILDER)|60 Videos
  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos
  • JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))

    DISHA PUBLICATION|Exercise MCQs|30 Videos

Similar Questions

Explore conceptually related problems

f(x)=log(x-[x]), which [,] denotes the greatest integer function.

f(x)=log_([x-1])sin x, where [.1 denotes the greatest integer.

Domain (D) and range (R) of f(x)=sin^(-1)(cos^(-1)[x]), where [.] denotes the greatest integer function,is

If f(x) = log_([x-1])(|x|)/(x) ,where [.] denotes the greatest integer function,then

The range of f(x)=[sin{x}], where [x] denotes greatest integer function

Domain (D) and range (R ) of f(x)=sin^(-1)(cos^(-1)[x]) where [ ] denotes the greatest integer function is

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

f(x)=log(x-[x]) , where [*] denotes the greatest integer function. find the domain of f(x).

The domain and range of f(x) = cos^(-1)sqrt(log_([x])(|x|/(x))) where[.] denote the greatest integer function are respectively

DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 2: (CONCEPT APPLICATOR)
  1. If cos^(-1)lambdacos^(-1)mu+cos^(-1)gamma=3pi, then find the value of ...

    Text Solution

    |

  2. Find the domain and range of f(x) = sin^-1 (log [x]) + log (sin^-1 [x...

    Text Solution

    |

  3. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2)p then the value of x^(100)+...

    Text Solution

    |

  4. If u=cot^-1 sqrt(tanalpha)-tan^-1 sqrt(tan alpha), then tan(pi/4-u/2) ...

    Text Solution

    |

  5. Find the real solutions of the eqution tan^(-1)sqrt(x(x+1))+sin^(-1)sq...

    Text Solution

    |

  6. The domain set of the function f(x) = tan^(-1) x -cot ^(-1) x + cos ...

    Text Solution

    |

  7. The sum of the infinite series "sin"^(-1)((1)/(sqrt2))+"sin"^(-1)((s...

    Text Solution

    |

  8. If cos^(-1)x-"cos"^(-1)y/2=alpha, then 4x^(2)-4xycos alpha+y^(2) is eq...

    Text Solution

    |

  9. 5cos^(-1)((1-x^(2))/(1+x^(2)))+7sin^(-1)((2x)/(1+x^(2)))-4tan^(-1)((2x...

    Text Solution

    |

  10. If alpha="sin"^(-1)("cos"("sin"^(-1)x)) and beta="cos"^(-1)("sin"("cos...

    Text Solution

    |

  11. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

    Text Solution

    |

  12. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, then

    Text Solution

    |

  13. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

    Text Solution

    |

  14. If 1/2"sin"^(-1)(2x)/(1+x^2)+1/2"cos"^(-1)(1-y^2)/(1+y^2)+1/3"tan"^(-1...

    Text Solution

    |

  15. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)"than ...

    Text Solution

    |

  16. If A="tan"^(-1)((xsqrt3)/(2K-x)) and B="tan"^(-1)((2x-K)/(Ksqrt3)), th...

    Text Solution

    |

  17. If f(x)=cot^(-1) ((3x-x^3)/(1-3x^2)) and g(x)=cos^(-1)((1-x^2)/(1+x^2)...

    Text Solution

    |

  18. Find x satisfying [tan^(-1)x]+[cos^(-1)x]=2, where [] represents the g...

    Text Solution

    |

  19. Evaluate underset(xto-1^(+))lim(sqrt(pi)-sqrt(cos^(-1)x))/(sqrt(1+x)).

    Text Solution

    |

  20. The value of sin^(-1){cot(sin^(-1)(sqrt((2-sqrt3)/4)+cos^(-1)(sqrt(12)...

    Text Solution

    |