Home
Class 12
MATHS
Domain of f(x)=cos^(-1)x+cot^(-1)x+cosec...

Domain of `f(x)=cos^(-1)x+cot^(-1)x+cosec^(-1)x` is

A

[-1,1]

B

R

C

`(-oo,-1] cup [1,oo)`

D

{-1,1}

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -2 (Level -I)|7 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -2 (Level -II)|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|6 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

Similar Questions

Explore conceptually related problems

Range of f(x)=cot^(-1)x+tan^(-1)x+csc^(-1)x is

Range of the function f(x)=cos^(-1)x+2cot^(-1)x+3cosec^(-1)x is equal to

Range of f(x)=sin^(-1)x+cos^(-1)x+cot^(-1)x

The range of function f(x)=cot^(-1)x+sec^(-1)x+ cosec^(-1)x is

The range of function f(x)=cot^(-1)x+sec^(-1)x+cosec^(-1)x is

The range of f(x)=cos^(-1)x+csc^(-1)x is

The domain of f(x)=sin^(-1)x+cos ec^(-1)x is

The domain of sin^(-1)x+cos^(-1)x is

The domain set of the function f(x) = tan^(-1) x -cot ^(-1) x + cos ^(-1) ( 2-x) is

Find the domain of f(x)=cos^(-1)x+cos x

MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Section A: Domain, Range
  1. Domain of f(x)=cos^(-1)x+cot^(-1)x+cosec^(-1)x is

    Text Solution

    |

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

    Text Solution

    |

  3. If x ge 0 and theta=sin^(-1) x+cos^(-1)x-tan^(-1)x, then

    Text Solution

    |

  4. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

    Text Solution

    |

  5. cosec^(-1)(cos x) is real if

    Text Solution

    |

  6. If cos (tan ^(-1) (sin (cot^ (-1) sqrt(3)))) =y, then

    Text Solution

    |

  7. The value of tan[sin^(-1) (3/5)+tan^(-1) (2/3)] is

    Text Solution

    |

  8. tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b)...

    Text Solution

    |

  9. The value of cos (1/2 cos^(-1) . 1/8) is equal to

    Text Solution

    |

  10. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

    Text Solution

    |

  11. If xlt0, then value of tan^(-1)(x)+tan^(-1)(1/x) is equal to

    Text Solution

    |

  12. tan^-1a+tan^-1b, where a > 0, b>0, ab > 1, is equal to

    Text Solution

    |

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

    Text Solution

    |

  14. If sin^(-1)x + sin^(-1)y =(2pi)/3, then: cos^(-1)x +cos^(-1)y=

    Text Solution

    |

  15. if tan ^-1 (( sqrt (1+x^2)-1)/x) = pi/45 then:

    Text Solution

    |

  16. If 1/2 sin^(-1)((3sin2theta)/(5+4cos2theta))=(pi)/4, then tan theta is...

    Text Solution

    |

  17. cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x)/(2)-cos^...

    Text Solution

    |

  18. Find all possible values of p and q for which cos^-1 sqrt(p)+cos^-1 sq...

    Text Solution

    |

  19. The equation sin^-1x-cos^-1x=cos^-1(sqrt3/2) has

    Text Solution

    |

  20. The set of values of 'x' for which the formula 2sin^(-1)x=sin^(-1)2x s...

    Text Solution

    |