Home
Class 12
MATHS
Solve for x : tan^(-1)x+2cot^(-1)x=(2p...

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

Text Solution

Verified by Experts

The correct Answer is:
`-(pi)/(3)`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OSWAAL PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS - I|13 Videos

  • INTEGRALS

    OSWAAL PUBLICATION|Exercise DEFINITE INTEGRALS (LONG TYPE ANSWER TYPE QUESTIONS - III)|40 Videos

  • LINEAR PROGRAMMING

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions-lI|26 Videos

Similar Questions

Explore conceptually related problems

The solution of tan^(-1)x + 2 cot^(-1)x = (2pi)/(3) is

Find x, if tan^(-1)4+cot^(-1)x=(pi)/(2) .

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

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

Solve for x:tan^(-1)((x)/(2))+tan^(-1)((x)/(3))=(pi)/(4), sqrt6gtx gt0 .

Solve or x 2tan^(-1)(cosx)=tan^(-1)(2cosecx)

OSWAAL PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-SHORT ANSWER TYPE QUESTIONS - II
  1. Solve the equation sin^(-1)y x+sin^(-1)6sqrt(3)x=(-pi)/2dot

    Text Solution

    |

  2. cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/...

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that s in^(-1)(8/(17))+sin^(-1)(3/5)=cos^(-1)((36)/(85))

    Text Solution

    |

  5. Solve for "x\ ":tan^(-1)(1-"x")/(1+"x")=1/2"tan"^(-1)"\ x";"x">0

    Text Solution

    |

  6. Prove that 2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)(1/8)=pi/4...

    Text Solution

    |

  7. Prove that: tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+)x+sqrt(1-x))]=pi/4...

    Text Solution

    |

  8. If tan^(-1)((x-2)/(x-4))+tan^(-1)((x+2)/(x+4))=pi/4, find the value of...

    Text Solution

    |

  9. Solve for x : cos(tan^(-1)x)=sin(cot^(-1)3/4)

    Text Solution

    |

  10. Prove the following: cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/...

    Text Solution

    |

  11. Find the value of the following: tan1/2[sin^(-1)(2x)/(1+x^2)+cos^(-1)...

    Text Solution

    |

  12. Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4dot

    Text Solution

    |

  13. Show that: tan(1/2sin^(-1)3/4)=(4\ sqrt(-7))/3

    Text Solution

    |

  14. Solve for x: tan^(-1)3x+tan^(-1)2x=pi/4

    Text Solution

    |

  15. tan^(-1)((3)/(4))+tan^(-1)((3)/(5))-tan^(-1)((8)/(19))=

    Text Solution

    |

  16. Prove that t a n^(-1)((cosx)/(1+sinx))=pi/4-x/2,\ x in (-pi/2,pi/2)

    Text Solution

    |

  17. cos(sin^-1 (3/5)+ cot^-1(3/2)) = 6/(5sqrt13)

    Text Solution

    |

  18. cos^(-1)((4)/(5))+cos^(-1)((12)/(13))=

    Text Solution

    |

  19. Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2

    Text Solution

    |

  20. Prove that: "sin"[cot^(-1){"cos"(tan^(-1)x)}]=sqrt((x^21)/(x^2+2)) ...

    Text Solution

    |