Home
Class 12
MATHS
If 2Tan^(-1)x+Sec^(-1)x=pi//2 then x =...

If `2Tan^(-1)x+Sec^(-1)x=pi//2` then x =

A

`1//4`

B

`1//6`

C

2

D

No solution

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set -4|8 Videos

Similar Questions

Explore conceptually related problems

If Tan^(-1)2x+Tan^(-1)3x=pi//4 , then x =

If tan^(-1)x+2cot^(-1)x=(2pi)/3 , then x is equal to

If "Tan"^(-1)a/x+"Tan"^(-1)b/x=pi/2 then x =

If Sin^(-1)x+Tan^(-1)x=(pi)/2 then the value of x^(2) is

If tan^(-1)(a//x)+tan^(-1)(b//x)=pi//2 then x=

IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+ 2tan^(-1)((2x)/(1-x^(2)))=(pi)/3 then x=

If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/4 then x=

A solution of the equation Tan^(-1)(1+x)-Tan^(-1)(x-1)=pi//2 is

DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. Solve Sin^(-1)x +Sin^(-1)2x = (pi)/3.

    Text Solution

    |

  2. If Tan^(-1)2x+Tan^(-1)3x=pi//4, then x =

    Text Solution

    |

  3. If 2Tan^(-1)x+Sec^(-1)x=pi//2 then x =

    Text Solution

    |

  4. If "Tan"^(-1)a/x+"Tan"^(-1)b/x=pi/2 then x =

    Text Solution

    |

  5. If Tan^(-1)(1//(a-1))=Tan^(-1)(1//x)+Tan^(-1)[1//(a^(2)-x+1)], then x ...

    Text Solution

    |

  6. If "Sin"^(-1)5/x+"Sin"^(-1)12/x=pi/2, then x =

    Text Solution

    |

  7. If Sin^(-1)(x//5)+Cosec^(-1)(5//4)=pi//2 then a value of x is

    Text Solution

    |

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

    Text Solution

    |

  9. If Sin^(-1)x+Sin^(-1)(1-x)=Cos^(-1)x then x =

    Text Solution

    |

  10. The equation Sin^(-1)x-Cos^(-1)x=Cos^(-1)(sqrt3//2) has

    Text Solution

    |

  11. If Tan^(-1)(x+1)+Tan^(-1)(x-1)=Tan^(-1)(4//7), then x =

    Text Solution

    |

  12. A solution of the equation Tan^(-1)(1+x)+Tan^(-1)(1-x)=pi//2 is

    Text Solution

    |

  13. Sin^(-1)x-Cos^(-1)x=Sin^(-1)(3x-2),"if "xgt0 then x =

    Text Solution

    |

  14. If 2Tan^(-1)(cosx)=Tan^(-1)(2cosecx) then x =

    Text Solution

    |

  15. tan(Cos^(-1)1//x)=sin(Cot^(-1)1//2),"if "xne0 then x =

    Text Solution

    |

  16. The value of x where xgt0andtan(Sec^(-1)(1/x))=sin(Tan^(-1)2) is

    Text Solution

    |

  17. If Sin^(-1)((2a)/(1+a^(2)))+Sin^(-1)((2b)/(1+b^(2)))=2Tan^(-1)x, then ...

    Text Solution

    |

  18. If Tan^(-1)((x-1)/(x-2))+Cot^(-1)((x+2)/(x+1))=pi/4, then x =

    Text Solution

    |

  19. If Tan^(-1)((x+1)/(x-1))+Tan^(-1)((x-1)/x)=pi+Tan^(-1)(-7), then x =

    Text Solution

    |

  20. If 3Tan^(-1)(1/(2+sqrt3))-Tan^(-1)(1/x)=Tan^(-1)(1/3), then x =

    Text Solution

    |