Home
Class 12
MATHS
lf x >=0 and theta = sin^(-1)x + cos^(-1...

lf `x >=0` and `theta = sin^(-1)x + cos^(-1)x-tan^(-1) x`, then

A

`(pi)/2le theta le (3pi)/4`

B

`0le theta le (pi)/4`

C

`0le theta lt (pi)/2`

D

`(pi)/4 le theta le (pi)/2`

Text Solution

Verified by Experts

The correct Answer is:
D

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MCQ_TYPE|31 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

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

If x>=0 and theta=sin^(-1)x+cos^(-1)x-tan^(-1)x

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

Range of sin^(-1)x+cos^(-1)x+tan^(-1)x is

tan(sin^(-1)x+cos^(-1)x)

Let f(x)=sin x+cos x+tan x+sin^(-1)x+cos^(-1)x+tan^(-1)x Then find the maximum and minimum values of f(x)

RESONANCE-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. If pilexle2pi, then cos^(-1)(cosx) is equal to

    Text Solution

    |

  2. If sin^(-1)x+sin^(-1)y=(2pi)/3, then cos^(-1)x+cos^(-1)y is equal to

    Text Solution

    |

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

    Text Solution

    |

  4. Number of solutions of equation tan^(-1)(e^(-x))+cot^(-1)(|lnx|)=pi//2...

    Text Solution

    |

  5. The numerical value of cot(2sin^(-1)\ 3/5+cos^(-1)\ 3/5) is

    Text Solution

    |

  6. Statement 1: tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3)=11. Statement -...

    Text Solution

    |

  7. If alpha is a real root of the equation x^(2)+3x-tan2=0 then cot^(-1)a...

    Text Solution

    |

  8. If sin^(-1)((sqrt(x))/2)+sin^(-1)(sqrt(1-x/4))+tan^(-1)y=(2pi)/3, then

    Text Solution

    |

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

    Text Solution

    |

  10. If sin^(-1)xcot^(-1)(1/2)=(pi)/2 then x is equal to

    Text Solution

    |

  11. The numerical value of "tan"(2tan^(-1)(1/5)-pi/4 is equal to

    Text Solution

    |

  12. If f(x)=tan^(-1)((sqrt(3)x-3x)/(3sqrt(3)+x^(2)))+tan^(-1)(x/(sqrt(3)))...

    Text Solution

    |

  13. Statement 1: If agt0,bgt0, tan^(-1)(a/x)+tan^(-1)(b/x)=(pi)/2 . implie...

    Text Solution

    |

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

    Text Solution

    |

  15. For real numbers x and y, we write x* y, if x - y +sqrt2 is an irratio...

    Text Solution

    |

  16. Let A=NxxN be the Cartesian product of N and N. Let S={(m,n),(p,q)epsi...

    Text Solution

    |

  17. Let A=Z, the set of integers. Let R(1)={(m,n)epsilonZxxZ:(m+4n) is div...

    Text Solution

    |

  18. Let X be the set of all persons living in a city. Persons x, y in X ar...

    Text Solution

    |

  19. The domain of the function f(x)=log(1//2)(-log(2)(1+1/(root(4)(x)))-1)...

    Text Solution

    |

  20. If q^2 - 4pr =0 , p gt 0 then the domain of the function f(x) = log(p ...

    Text Solution

    |