Home
Class 12
MATHS
Prove that tan^(-1)""(1)/(2)+tan^(-1)"...

Prove that
`tan^(-1)""(1)/(2)+tan^(-1)""(1)/(5)+tan^(-1)""(1)/(8)=(pi)/(4)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions |20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions |20 Videos

  • INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs) |52 Videos

  • LINEAR PROGRAMMING

    OMEGA PUBLICATION|Exercise Question (Miscellaneous Exercise) |8 Videos

Similar Questions

Explore conceptually related problems

Prove that 2tan^(-1)""(1)/(2)+tan^(-1)""(1)/(7)=tan^(-1)""(31)/(17)

Prove that tan^(-1)""(3)/(4)+tan^(-1)""(3)/(5)-tan^(-1)""(8)/(19)=(pi)/(4)

Prove that 2tan^(-1)""(1)/(5)+tan^(-1)""(1)/(8)=tan^(-1)""(4)/(7)

Prove that tan^(-1)""(1)/(2)+tan^(-1)""(2)/(11)=tan^(-1)""(3)/(4)

Prove that tan^(-1)""(1)/(7)+tan^(-1)""(1)/(13)=tan^(-1)""(2)/(9)

Prove that 2tan^(-1)""(1)/(5)+tan^(-1)""(1)/(4)=tan^(-1)""(32)/(43)

Prove that tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)=tan^(-1)""(1)/(2) .

Prove that tan^(-1)""(1)/(4)+tan^(-1)""(2)/(9)=(1)/(2)tan^(-1)""(4)/(3)

Prove that tan^(-1)""(1)/(5)+tan^(-1)""(1)/(7)+tan^(-1)""(1)/(3)+tan^(-1)""(1)/(8)=(pi)/(4)

OMEGA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -Important Questions from Miscellaneous Exercise
  1. Write in simplest form : "tan"^(-1)(sqrt((1-"cos"x)/(1+"cos"x))),xltpi...

    Text Solution

    |

  2. Write the tan^-1 (frac{cos x - sin x}{cos x + sin x)), x < pi. in the ...

    Text Solution

    |

  3. Prove that tan^(-1)""(1)/(2)+tan^(-1)""(1)/(5)+tan^(-1)""(1)/(8)=(pi...

    Text Solution

    |

  4. Prove that : cos^-1 (4/5) + cos^-1(12/13) = cos^-1 (33/65)

    Text Solution

    |

  5. Write tan^(-1)((x)/(sqrt(a^(2)-x^(2)))) in simplest form.

    Text Solution

    |

  6. Write tan^(-1)((sqrt(1+x^(2))-1)/(x)),xne0 simplest form.

    Text Solution

    |

  7. Find the value of cos^(-1)(cos""(13pi)/(6))

    Text Solution

    |

  8. What is the principal value of "cos"^(-1)("cos"(2pi)/(3))+"sin"^(-1)("...

    Text Solution

    |

  9. Prove that cos^(-1)""(12)/(13)+sin^(-1)""(3)/(5)=sin^(-1)""(56)/(65)

    Text Solution

    |

  10. Prove that tan^(-1)""(1)/(2)+tan^(-1)""(2)/(11)=tan^(-1)""(3)/(4)

    Text Solution

    |

  11. Prove that tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)=tan^(-1)""(1)/(2).

    Text Solution

    |

  12. Express tan^(-1)((cosx)/(1-sinx)),-(pi)/(2)ltxlt(pi)/(2) in the simple...

    Text Solution

    |

  13. Prove that tan^(-1) (1/5)+ tan^(-1) (1/7) + tan^(-1) (1/3) + tan^(-1) ...

    Text Solution

    |

  14. Show that sin^(-1)""(3)/(5)-sin^(-1)""(8)/(17)=cos^(-1)""(84)/(85)

    Text Solution

    |

  15. Prove that : cot^-1[(sqrt(1+sin x) + sqrt(1-sin x))/(sqrt1+sin x + sqr...

    Text Solution

    |

  16. Prove that (9pi)/(8)-9/(4)"sin"^(-1)1/(3)=9/(4)"sin"^(-1)(2sqrt(2))/(3...

    Text Solution

    |

  17. Solve tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)""(8)/(31)

    Text Solution

    |

  18. Prove that "tan"^(-1)sqrt(x)=1/(2)"cos"^(-1)((1-x)/(1+x)),x in[0,1].

    Text Solution

    |

  19. Solve the 2 tan^-1 (cos x) = tan^-1 (2 cosec x).

    Text Solution

    |

  20. Prove that 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x in[(1)/(2),1]

    Text Solution

    |