Home
Class 12
MATHS
if x in (-oo,-1) then tan^(-1)(2x)/(1-x^...

if `x in (-oo,-1) then tan^(-1)(2x)/(1-x^(2))` equals

A

`2tan^(-1)x`

B

`-pi+2 tan^(-1)x`

C

`pi+2 tan^(-1)x`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|11 Videos

  • INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Illustration|1 Videos

  • LIMITS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If x in (1,oo) then tan^(-1)(2x)/(1-x^(2)) equals

If x in (-oo,-1) then sin^(-1)((2x)/(1+x^(2))) equals

If x in (1,oo) then sin^(-1)((2x)/(1+x^(2))) equals

If 0 le x lt oo, then cos^(-1)((1-x^(2))/(1+x^(2))) equals

If |x| le 1 , then 2tan^(-1)x + sin^(-1)((2x)/(1+x^(2))) is equal to

If -oo lt x le 0 then cos ^(-1)((1-x^(2))/(1+x^(2))) equals

int_(0)^(oo)(tan^(-1)x)/(1+x^(2))dx

If y=(x)/(sqrt(a^(2)-1))-(2)/(sqrt(a^(2)-1))tan^(-1)((sin x)/(a+sqrt(a^(2)-1)+cos x)) where a (-oo,-1)uu(1,oo) then y'((pi)/(2)) equals

If f(x)=(x)/(1+(In x)(ln x)...oo)AA x in[1,oo) then int_(1)^(2e)f(x)dx equals:

OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. If 1 lt x lt 1 then tan^(-1) (2x)/(1-x^(2)) equals

    Text Solution

    |

  2. If x in (1,oo) then tan^(-1)(2x)/(1-x^(2)) equals

    Text Solution

    |

  3. if x in (-oo,-1) then tan^(-1)(2x)/(1-x^(2)) equals

    Text Solution

    |

  4. If -(1)/sqrt(3) lt x lt (1)/sqrt(3), then tan^(-1) (3x-x^(3))/(1-3x^(...

    Text Solution

    |

  5. If x gt (1)/sqrt(3) then tan^(-1) (3x-x^(3))/(1-3x^(2)) equals

    Text Solution

    |

  6. If x lt -(1)/sqrt(3) , then tan^(-1)(3x-x^(3))/(1-3x^(2)) equals

    Text Solution

    |

  7. If 0 le x lt oo, then cos^(-1)((1-x^(2))/(1+x^(2))) equals

    Text Solution

    |

  8. If -oo lt x le 0 then cos ^(-1)((1-x^(2))/(1+x^(2)))equals

    Text Solution

    |

  9. If x in [-1,1] then sin^(-1)((2x)/(1+x^(2))) equals

    Text Solution

    |

  10. If x in (1,oo) then sin^(-1)((2x)/(1+x^(2))) equals

    Text Solution

    |

  11. If x in (-oo,-1) then sin^(-1)((2x)/(1+x^(2))) equals

    Text Solution

    |

  12. If sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))=4 tan^(-1) x...

    Text Solution

    |

  13. If 2tan^(-1)x+sin^(-1)((2x)/(1+x^2) ) is independent of x then :

    Text Solution

    |

  14. If tan^(-1) x + tan^(-1)y + tan^(-1)z= pi then x + y + z is equal to

    Text Solution

    |

  15. The value of cos(tan^-1 (tan 2)) is

    Text Solution

    |

  16. If sec^(-1)x=cosec^(-1) y then cos^(-1)(1/x)+cos^(-1)(1/y)=

    Text Solution

    |

  17. Let cos(2 tan^(-1) x)=1/2 then the value of x is

    Text Solution

    |

  18. If tan^(-)(x/(pi))lt (pi)/(3) ,x in N then the maximum vlaue of x is

    Text Solution

    |

  19. Range of the function f (x) = cos^-1 (-{x}), where {.} is fractional ...

    Text Solution

    |

  20. sec^(-1)(sin x) exist if

    Text Solution

    |