Home
Class 12
MATHS
If x lt -1//sqrt(3), then the value of 3...

If `x lt -1//sqrt(3)`, then the value of `3 tan^(-1)x - tan^(-1)(3x - x^(3))/(1-3x^(2))` equls

A

`-pi`

B

`pi`

C

`-pi//2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|10 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|14 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT-BASED SINGLE) (CORRECT ANSWER TYPE QUESTIONS)|10 Videos
  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos
  • JEE ( MAIN) 2020 QUESTIONS (9TH JAN-MORNING)

    MCGROW HILL PUBLICATION|Exercise JEE (Main) 2020 Questions with Solution Mathematics (9th Jan - Morning)|25 Videos

Similar Questions

Explore conceptually related problems

Prove that 3tan^(-1)x=tan^(-1)((3x-x^3)/(1-3x^2))

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

tan^(-1)((sqrt(x)(3-x))/(1-3x))

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

tan^(-1)2x+tan^(-1)3x=(pi)/(4)

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

Define: tan^(-1)((3x-x^(3))/(1-3x^(2))) in terms of tan^(-1)x

Prove that: i) sin^(-1)(3x-4x^(3))=3sin^(-1)x, |x| le 1/2 ii) cos^(-1)(4x^(2)-3x)=3cos^(-1)x,1/2 le x le 1 iii) tan^(-1)""(3x-x^(3))/(1-3x^(2))=3tan^(-1)x, |x| lt 1/sqrt(3) iv) tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)""(3x-x^(3))/(1-3x^(2))

Differentiate tan^(-1)((3x-x^(3))/(1-3x^(2))), if -1/(sqrt(3))

MCGROW HILL PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -SOLVED EXAMPLES (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. tan^(-1)(1//4) + tan^(-1) (2//9) is equal to

    Text Solution

    |

  2. sin^(-1)((2x)/(1+x^(2))) = 2 tan^(-1)x for

    Text Solution

    |

  3. cot^(-1)[(cos alpha)^(1//2)]-tan^(-1)[(cos alpha)^(1//2)]=x then sin x...

    Text Solution

    |

  4. The trignometric equation sin^(-1)x = 2sin^(-1)a has a solution for

    Text Solution

    |

  5. If 0 le x le 1 and theta = sin^(-1)x + cos^(-1)x - tan^(-1)x then

    Text Solution

    |

  6. If x gt 0, y gt 0 and x gt y, then (tan^(-1)(x//y) + tan^(-1)[(x+y)//(...

    Text Solution

    |

  7. The principal value of sin^(-1)(-sqrt(3)//2) + cos^(-1)(7pi//6) is

    Text Solution

    |

  8. The value of cos^(-1)(-1//2) - 2sin^(-1)(1//2) + 3 cos^(-1) (-1//sqrt(...

    Text Solution

    |

  9. If tan^(-1)(sqrt(1+x^(2))-1)/x=4 then x=

    Text Solution

    |

  10. sec^(2)(tan^(-1)2) + "cosec"^(2)(cot^(-1)3) is equal to

    Text Solution

    |

  11. The equation 2cos^(-1)x = sin^(-1) (2x sqrt(1-x^(2))) is valid for all...

    Text Solution

    |

  12. If tan^(-1) 1/(1+2) + tan^(-1) 1/(1+(2)(3)) + tan^(-1)1/(1+(3)(4)) + …...

    Text Solution

    |

  13. A value of x satisfying tan^(-1)(x+3) - tan^(-1)(x-3) = sin^(-1)(3//5)...

    Text Solution

    |

  14. If x = "cosec"(tan^(-1)(cos(cot^(-1)(sec(sin^(-1)a))))), a in [0,1], t...

    Text Solution

    |

  15. If sin^(-1) (sin(33pi)/7) + cos^(-1)(cos (46pi)/7) + tan^(-1)(-tan (13...

    Text Solution

    |

  16. If 0 lt x lt 1, the number of solutions of the equations tan^(-1)(x-1)...

    Text Solution

    |

  17. tan^(-1) (tan 4) - tan^(-1)(tan(-6)) + cos^(-1)(cos 10) is equal to

    Text Solution

    |

  18. If x lt -1//sqrt(3), then the value of 3 tan^(-1)x - tan^(-1)(3x - x^(...

    Text Solution

    |

  19. sin^(-1)(4//5) + sin^(-1)(5//13) + sin^(-1)(16//65) is equal to

    Text Solution

    |

  20. If tan^(-1)(1//4) + tan^(-1)(2//9) = (1//2) cos^(-1)x then x is equal ...

    Text Solution

    |