Home
Class 11
MATHS
If x lt -1," then "2tan^(-1)x+sin^(-1)((...

If `x lt -1," then "2tan^(-1)x+sin^(-1)((2x)/(1+x^(2)))=`

A

`-pi`

B

`pi`

C

`-2pi`

D

`2pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II LECTURE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|1 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

Lt_(x to 0) (1)/(x) sin^(-1)((2x)/(1+x^(2)))=

int (tan (sin^(-1)x))/(sqrt(1-x^(2)))dx=

If x in (-1,1) prove that 2Tan^(-1)x="Tan"^(-1)(2x)/(1-x^(2))

If f(x)=2tan^(-1)x+sin^(-1)((2x)/(1+x^(2))),xgt1 then f(5) is equal to

Prove that tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt1/(sqrt(3))

If x_(1)=2tan^(-1)((1+x)/(1-x)), x_(2)=sin^(-1)((1-x^(2))/(1+x^(2)))," where "x in (0, 1)," then "x_(1)+x_(2) is equal to

tan[2Tan^(-1)((sqrt(1+x^(2))-1)/x)]=

AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The range of value of p for which the equation sincos^(-1)(cos(tan^(-1...

    Text Solution

    |

  2. The solution set of the equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x=cot^(...

    Text Solution

    |

  3. The solution set of the equation 2cos^(-1)x=cot^(-1)((2x^(2)-1)/(2xsqr...

    Text Solution

    |

  4. Exhaustive set of parameter 'a' so that sin^(-1)x-tan^(-1)x=a has a so...

    Text Solution

    |

  5. The sum of roots of the equation cos^(-1)(cosx)=[x] (where [.] is G.I....

    Text Solution

    |

  6. If [sin^(-1)cos^(-1)sin^(-1)tan^(-1)x]=1, where [.] denotes the greate...

    Text Solution

    |

  7. If sin^(-1)(sin((2x^(2)+4)/(1+x^(2))))lt pi-3 then x satisfies.

    Text Solution

    |

  8. If 2^((2pi)/(Sin^(-1)x))-2(a+2)2^(pi/(Sin^(-1)x))+8a lt 0 for at least...

    Text Solution

    |

  9. Find the number of quadrant angles in the range of sin^(-1)x+cos^(-1)x...

    Text Solution

    |

  10. If 0 lt A lt pi/4, then prove that tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+t...

    Text Solution

    |

  11. The range of f(x)=cot^(-1)(2x-x^(2)) is

    Text Solution

    |

  12. If -pi/2 lt alpha lt pi/2, then prove that tan^(-1)((3sin2alpha)/(5+3c...

    Text Solution

    |

  13. Let g(x) = ax+b, where a lt 0 and g is defined from [1,3] onto [0,2] t...

    Text Solution

    |

  14. Find the value of cos^(-1)sqrt(2/3)-cos^(-1)""(sqrt(6)+1)/(2sqrt(3))

    Text Solution

    |

  15. If [.] denotes the greatest integer function, then find the value of [...

    Text Solution

    |

  16. If x lt -1," then "2tan^(-1)x+sin^(-1)((2x)/(1+x^(2)))=

    Text Solution

    |

  17. If cos^(-1)x=3cos^(-1)(3a-2) has a solution, then

    Text Solution

    |

  18. Find the value of sin^(-1)(sin2011^(0))+cos^(-1)(cos2011^(0))+tan^(-1)...

    Text Solution

    |

  19. Find the number of real solutions of (pi)/2+cos^(-1)(cosx)=|tanx|,0lex...

    Text Solution

    |

  20. Find the range of cosec^(-1)[1+sin^(2)x], where [.] denotes the greate...

    Text Solution

    |