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

Find the domain and range of
`f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x.`

A

`(pi/4,(3pi)/(4))`

B

`[pi/4,(3pi)/(4)]`

C

`{pi/4,(3pi)/(4)}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 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

Find the domain and range of f(x)=|x-1|

Find the range of f(x)=sin^(-1)x+tan^(-1)x+cos^(-1)x

Find the range of f(x)=sin^(-1)x+tan^(-1)x+cos^(-1)x

Find the domain and range of f(x)(1)/(2-sin3x).

Find the domain and range of f(x)=(x)/(1+x^(2))

" 1.Find the domain and range of "f(x)=sqrt(x-3)

The domain and range of f(x)=sin^(1)x+cos^(-1)x+tan^(-1)x+cot^(-1)x+sec^(-1)x+cos ec^(-1)x respectively are

Range of f(x)=sin^(-1)x+sec^(-1)x is

Find the range of f(x) = sin^(-1) x + tan^(-1) x + cos^(-1) x

Find the domain and range of f(x)=(1)/(sqrt(x-2))

DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
  1. Let f(x)=cot^(-1)x+ "cos" ec^(-1)x.Then f(x) is real for

    Text Solution

    |

  2. Find the value of tan ( 1/2 cos ^(-1) . sqrt5/3)

    Text Solution

    |

  3. Find the domain and range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x.

    Text Solution

    |

  4. If sin^(-1) x = tan^(-1)ym what is the value of (1)/(x^(2))-(1)/(y^(2)...

    Text Solution

    |

  5. If "sin"^(-1)(x^2-7x+12)=npi, AAn epsilon I, then x=

    Text Solution

    |

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

    Text Solution

    |

  7. cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

    Text Solution

    |

  8. sec^(-1)("sin"^2x) is well- defined if and only if

    Text Solution

    |

  9. Find the value of cot^(-1) [(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-...

    Text Solution

    |

  10. Find domain for, f(x)=cos^(-1)[x].

    Text Solution

    |

  11. The domain of the function cos^-1 {log2 (x^2+5x+8)} is

    Text Solution

    |

  12. Let x1 and x2 be solutions of the equation "sin"^(-1)(x^2-3x+5/2)=pi/6...

    Text Solution

    |

  13. The Range of the function y=((cos^(-1)(3x-1))/pi+1)^2 (1) [1,4] (2...

    Text Solution

    |

  14. Find the principal value of cosec^(-1)(-2/sqrt3).

    Text Solution

    |

  15. Find the principal value of sec^(-1)(2)

    Text Solution

    |

  16. Principal value of "tan"^(-1)1+"cos"^(-1)((-1)/(2))+"sin"^(-1)((-1)/(2...

    Text Solution

    |

  17. If "cos"^(-1)x> "sin"^(-1)x, then the set of all values of x is

    Text Solution

    |

  18. "sin"^(-1)("sin" 5)>x^2-4x holds if

    Text Solution

    |

  19. If x epsilon(7pi,8pi), then "tan"^(-1)sqrt((1-"cos" x)/(1+"cos" x))=

    Text Solution

    |

  20. If "tan"^(-1)(-x)+"cos"^(-1)((-1)/(2))=pi/2, then the value of x is eq...

    Text Solution

    |