Home
Class 12
MATHS
If [sin^-1 (cos^-1(sin^-1 (tan^-1 x)))]...

If `[sin^-1 (cos^-1(sin^-1 (tan^-1 x)))]=1`, where `[*]` denotes the greatest integer function, then `x in`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

If [.] denotes the greatest integer function, then lim_(xto0) [(x^2)/(tanx sin x)] , is

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

f(x)=sin^(-1)[2x^(2)-3] , where [*] denotes the greatest integer function. Find the domain of f(x).

domin of f(x)=sin^-1[log_2(x^2/2)] where [ . ] denotes the greatest integer function.

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

If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi] , (where ,[.] denotes th greatest integer function ), then

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is

The range of the function f(x) = sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2] , where [ . ] denotes the greatest integer function.

find the domain of f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If tan^(-1)y=4tan^(-1)x, (|x| lt tan(pi) /8) , find y as an algebraic...

    Text Solution

    |

  2. If A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(1/3)+sin^(-1)(3/5), then wh...

    Text Solution

    |

  3. If [sin^-1 (cos^-1(sin^-1 (tan^-1 x)))]=1, where [*] denotes the gre...

    Text Solution

    |

  4. Transform sin^(-1)x in other inverse trigonometric function.

    Text Solution

    |

  5. The value of sin^(-1)(-sqrt(3)/2)\ is: (A) (-pi)/3 (B) (-2pi)/3 (...

    Text Solution

    |

  6. cos(2 tan^(-1)(1/7))equals: a."sin"(4cot^(-1)3) b. "sin"(3cot^(-1)4)...

    Text Solution

    |

  7. The value of sec(sin^-1sin((-50pi)/9)+cos^-1cos((31pi)/9))

    Text Solution

    |

  8. cos (cos^-1 cos((8pi)/7) +tan^-1 tan((8pi)/7)) has the value equal to ...

    Text Solution

    |

  9. (sin^(-1) x)^2 + (sin^(-1) y)^2 + 2(sin^(-1) x)(sin^(-1) y) = pi^2 , t...

    Text Solution

    |

  10. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

    Text Solution

    |

  11. "tan"(cos^(-1)x) is equal to a.x/(1+x^2) b. (sqrt(1+x^2))/x c.(sqrt(...

    Text Solution

    |

  12. If x=2cos^(-1)(1/2)+sin^(-1)(1/(sqrt(2)))+tan^(-1)(sqrt(3))\ a n d\ y=...

    Text Solution

    |

  13. If x=tan^(- 1)(1)+cos^(- 1)(-1/2)+sin^(- 1)(-1/2) and y=cos[1/2cos...

    Text Solution

    |

  14. tan^(-1)2+tan^(-1)3=cos e c^(-1)x ,then x is equal to a.-(19)/(40) b...

    Text Solution

    |

  15. If sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x is a. 0 b. 1/(sqrt(5)) c....

    Text Solution

    |

  16. If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a.1/sqrt(5)...

    Text Solution

    |

  17. sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is true if x in a. [0,\ 1]\ b. [...

    Text Solution

    |

  18. Domain of the explicit from of the function y represented implicity by...

    Text Solution

    |

  19. If cos^(- 1)x-cos^(- 1)(y/2)=alpha then 4x^2-4xycosalpha+y^2=

    Text Solution

    |

  20. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, then, a. x^2+y^2+z^2+x y z=0 ...

    Text Solution

    |