Home
Class 12
MATHS
2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),w h e ...

`2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),w h e r ex in R-{-1,1},` is equal to

A

`(2x)/(1 -x^(2))`

B

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

C

`tan ( cot^(-1)(-x) - cot^(-1)(x))`

D

`tan(2 cot^(-1)x)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|70 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

If tan^-1 2x + tan^-1 3x = pi/2 , then the value of x is equal to

d/dx{tan^-1(e^x)} is equal to :

("lim")_(xvecoo)"{"x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to

Solve: (-1)/(|x|-2)geq1,w h e r ex in R ,x!=+-2.

If y=sum_(r=1)^(x) tan^(-1)((1)/(1+r+r^(2))) , then (dy)/(dx) is equal to

Solve for x , tan^(-1) ( x + 1) + tan^(-1) x + tan^(-1) ( x - 1) = tan ^(-1) 3x

Let x_(1) , x_(2) , x_(3) be the solution of tan^(-1) ((2x + 1)/(x +1 )) + tan ^(-1) ((2x - 1)/( x -1 )) = 2 tan ^(-1) ( x + 1) " where x_1 2x_(1) + x_(2) + x_(3)^(2) is equal to

Prove that : tan^-1 x +tan^-1 2x/(1-x^2) = tan^-1 ((3x-x^3)/(1-3x^2)), |x| < 1/sqrt3

ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (More Than One Correct Option Type Questions)
  1. Let theta = tan^(-1) ( tan . (5pi)/4) " and " phi = tan^(-1) ( - tan ...

    Text Solution

    |

  2. Let f(x)=e^cos^((-1)){sin(x+pi/3)}dot Then, f((8pi)/9)= e^(5pi//18) ...

    Text Solution

    |

  3. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (...

    Text Solution

    |

  4. Let f(x) = sin^(-1) x + cos^(-1) x ". Then " pi/2 is equal to

    Text Solution

    |

  5. cos^(-1)x=tan^(-1)x then

    Text Solution

    |

  6. The solution of sin^(-1)|sin x|=sqrt(sin^(-1)|sin x|) is (a)npi -1" ...

    Text Solution

    |

  7. Find the value of trigonometric function tan((22pi)/3)

    Text Solution

    |

  8. Indicate the relation which can hold in their respective domain for in...

    Text Solution

    |

  9. To the equation 2^(2pi//cos^(-1)x) - (a + (1)/(2)) 2^(pi/cos^(-1)x) -a...

    Text Solution

    |

  10. sin^(-1)(sin 3) + sin^(-1) ( sin 4) + sin^(-1) ( sin 5) when simplif...

    Text Solution

    |

  11. If cos^(-1) x + cos^(-1) y + cos^(-1) z = pi , then find sin^(-1) x...

    Text Solution

    |

  12. 2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),w h e r ex in R-{-1,1}, is equal to

    Text Solution

    |

  13. Let f(x) = sin^(-1)|sin x| + cos^(-1)( cos x) . Which of the following...

    Text Solution

    |

  14. If f(x) = sin^(-1) x. cos^(-1) x. tan^(-1) x . cot^(-1) x. sec^(-1) x....

    Text Solution

    |

  15. Prove that sin2x + sin8x = 2sin5x cos3x

    Text Solution

    |

  16. Let function f(x) be defined as f(x) = |sin^(-1)x| + cos^(-1) (1/x)...

    Text Solution

    |

  17. Which of the following pairs of function are identical?

    Text Solution

    |

  18. The value of Sigma(n=1)^(infty) cot^(-1) ( n^(2) + n +1) is also equa...

    Text Solution

    |

  19. Find the multiplicative inverse of the complex number 7 + 3i

    Text Solution

    |

  20. If log x = (-1)/3 , " and " Fi n d log ( sin ( arc cos sqrt(1 - x^(...

    Text Solution

    |