Home
Class 12
MATHS
Solve the following equations : tan^(...

Solve the following equations :
`tan^(-1). (2x)/(1-x^(2)) +cos^(-1). (1-x^(2))/(2x) = pi/3 , x gt 0 `

Text Solution

Verified by Experts

The correct Answer is:
`2-sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 2 (b) (Long Answer Type Questions (II))|2 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions)|26 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 2 (a) (Long Answer Type Questions )|3 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise Chapter Test|12 Videos

Similar Questions

Explore conceptually related problems

Solve the following equation for x:tan^(-1)((2x)/(1-x^(2)))+cot^(-1)((1-x^(2))/(2x))=(2 pi)/(3),x>0

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

Solve the following equations : tan^(-1) ((x-2)/(x-4)) +tan^(-1) ((x+2)/(x+4)) = pi/ 4

Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = tan^(-1) (8/79)

Solve for x : tan^(-1)(2x)/(1-x^(2))+cot^(-1)(1-x^(2))/(2x))=pi/3, -1 lt x lt 1 .

Solve the following equations : sin^(-1)(x^(2)-2x+3)+cos^(-1)(x^(2)-x)=(pi)/2

Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = pi/4 , x gt 0

Solve the equation : 2 tan^(-1) ( 2x - 1) = cos ^(-1) x .

Solve the following equations : tan^(-1) (x+1) +tan^(-1) (x-1) = tan^(-1) (8/31 ) , x gt 0

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-EXERCISE 2 (b) (Short Answer Type Questions)
  1. Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = ...

    Text Solution

    |

  2. If tan ^(-1) ((1-x)/(1+x))= (1)/(2) tan^(-1) x, x gt 0, then x = ?

    Text Solution

    |

  3. Solve the following equations : tan^(-1). (2x)/(1-x^(2)) +cos^(-1)....

    Text Solution

    |

  4. Solve the following equations : cos (tan^(-1) x ) = sin (cot^(-1)...

    Text Solution

    |

  5. If sin(cot^(-1)(x+1))=costan^(-1)x, then x=

    Text Solution

    |

  6. Solve the following equations : 2tan^(-1) (sin x) = tan^(-1) (2se...

    Text Solution

    |

  7. Solve the following equations : cos (sin^(-1) x) = 1/2

    Text Solution

    |

  8. Solve the following equations : tan^(-1) ((x-2)/(x-4)) +tan^(-1) (...

    Text Solution

    |

  9. Solve for x , tan^(-1) ( x + 1) + tan^(-1) x + tan^(-1) ( x - 1) = t...

    Text Solution

    |

  10. Solve for x : 3 sin^(-1) ((2x)/(1+x^(2))) - 4 cos^(-1) ((1-x^(2))...

    Text Solution

    |

  11. Express each of the following in the simplest form: tan^(-1){(cosx)...

    Text Solution

    |

  12. Write the following function in the simplest form: tan^(-1)((cosx-sinx...

    Text Solution

    |

  13. Write the following function in the simplest form: tan^(-1)((cosx-sinx...

    Text Solution

    |

  14. Write the following functions in the simplest form: tan^(-1){x/(a^2-x...

    Text Solution

    |

  15. Write the following function in the simplest form: tan^(-1)(sqrt(1+x^2...

    Text Solution

    |

  16. Write the following in the simplest form : tan ^(-1) ((sqrt(1-x^(...

    Text Solution

    |

  17. Prove that : tan^(-1) ((sqrt(1-x^(2)))/(1+x)) = 1/2 cos^(-1) x

    Text Solution

    |

  18. prove that 1/2tan^-1x=cos^-1xsqrt((1+sqrt(1+x^2))/(2sqrt(1+x^2))

    Text Solution

    |

  19. Prove that : tan^(-1) [ (sqrt(1+z) +sqrt(1-z))/(sqrt(1+z) -sqrt(1-z...

    Text Solution

    |

  20. tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))

    Text Solution

    |