Home
Class 11
MATHS
If abs(sin^(-1)x)+abs(cos^(-1)x)=pi/2, t...

If `abs(sin^(-1)x)+abs(cos^(-1)x)=pi/2`, then x in

A

R

B

[-1, 1]

C

[0, 1]

D

`phi`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II LECTURE SHEET (ADVANCED) STRAIGHT OBJECTIVE TYPE QUESTIONS)|6 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|8 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL - I STRAIGHT OBJECTIVE TYPE QUESTIONS)|21 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1)x-cos^(-1)x=(pi)/6 then x=

If Sin^(-1)x+4Cos^(-1)x=pi , then x =

If sin^(-1)(x)+sin^(-1)(2x)=(pi)/3 then x=

If 4sin^(-1)x+cos^(-1)x=pi , then x is equal to

If Sin^(-1)x-Cos^(-1)x = (pi)/6 then find x.

Point P(x,y) satisfying the equation sin^(-1)x+cos^(-1)y+cos^(-1)(2xy)=(pi)/2 lies on

AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The number of integer x satisfying sin^(-1)abs(x-2)+cos^(-1)(1-abs(3-x...

    Text Solution

    |

  2. The number of solution of the equation cos^(-1)((1+x^(2))/(2x))-cos^(-...

    Text Solution

    |

  3. If y=tan^(-1)""1/2+tan^(-1)b, (0 lt b lt 1) and 0 lt y le pi/4, then t...

    Text Solution

    |

  4. If 1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x, then x =

    Text Solution

    |

  5. If x(1)=2tan^(-1)((1+x)/(1-x)), x(2)=sin^(-1)((1-x^(2))/(1+x^(2)))," w...

    Text Solution

    |

  6. If sin^(-1)x +sin^(-1)y+sin^(-1)z=pi then x^(4)+y^(4)+z^(4)+4x^(2)y^(2...

    Text Solution

    |

  7. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2).x^(2))/(x^(4)+2x^(2)+...

    Text Solution

    |

  8. If sin^(-1)x=theta+beta and sin^(-1)y=theta-beta, then 1 + xy is equal...

    Text Solution

    |

  9. If alpha in (-(3pi)/2,-pi), then the value of tan^(-1)(cot alpha)-cot^...

    Text Solution

    |

  10. If sin^(-1)x:[-1, 1] to [pi/2, (3pi)/2] and cos^(-1)x:[-1, 1] to [0, p...

    Text Solution

    |

  11. The value of 2tan^(-1)(cosec(tan^(-1)x)-tan(cot^(-1)x)) is equal to

    Text Solution

    |

  12. If sin^(-1)a+sin^(-1)b+sin^(-c)=pi, then the value of asqrt((1-a^(2)))...

    Text Solution

    |

  13. If abs(sin^(-1)x)+abs(cos^(-1)x)=pi/2, then x in

    Text Solution

    |

  14. f(x)=tan^(-1)x+tan^(-1)(1/x), g(x)=sin^(-1)x+cos^(-1)x are identical f...

    Text Solution

    |

  15. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

    Text Solution

    |

  16. If tan^(-1)""(a+x)/a+tan^(-1)""(a-x)/a=pi/6 , then x^(2)=

    Text Solution

    |

  17. The value of tan^(-1)((xcostheta)/(1-xsintheta))-cot^(-1)((costheta)/(...

    Text Solution

    |

  18. If 3tan^(-1)(1/(2+sqrt(3)))-tan^(-1)""1/x=tan^(-1)""1/3, then x is equ...

    Text Solution

    |

  19. The value of 2tan^(-1)(cosec(tan^(-1)x)-tan(cot^(-1)x)) is equal to

    Text Solution

    |

  20. If f(x)=sin^(-1)(sqrt(3)/2x-1/2sqrt(1-x^(2))), -1/2 le x le 1, then f(...

    Text Solution

    |