Home
Class 12
MATHS
Prove that :2tan^(-1)1/5+sec^(-1)(5sqrt(...

Prove that :`2tan^(-1)1/5+sec^(-1)(5sqrt(2))/7+2tan^(-1)\ 1/8=pi/4`

Text Solution

Verified by Experts

The correct Answer is:
`pi/4`
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

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

Prove that tan^(-1) x =sec^(-1) sqrt(1+x^2)

Prove the following: 4tan^(-1)(1)/(5)-tan^(-1)(1)/(70)+tan^(-1)(1)/(99)=(pi)/(4)2tan^(-1)(1)/(5)+sec^(-1)(5sqrt(2))/(7)+2tan^(-1)(1)/(8)=(pi)/(4)

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

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

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

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

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

Prove that 4 tan^(-1) . 1/5 - tan^(-1) . 1/70 + tan^(-1) . 1/99 = pi/4

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-EXERCISE 2 (b) (Short Answer Type Questions)
  1. Prove that: sin^(-1)((3)/(5))+cos^(-1)((5)/(sqrt(26)))=tan^(-1)((19)/(...

    Text Solution

    |

  2. Find the value of : 4(2 tan^(-1) . 1/3 +tan^(-1). 1/7)

    Text Solution

    |

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

    Text Solution

    |

  4. Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

    Text Solution

    |

  5. Prove that: cot^(-1)((ab+1)/(a-b))+cot^(-1)((bc+1)/(b-c))+cot^(-1)((ca...

    Text Solution

    |

  6. Find the value of tan { 1/2 sin^(-1) ((2x)/(1+x^(2))) + 1/2 cos^(-1...

    Text Solution

    |

  7. Prove that tan[pi/4+1/2cos^(-1)""a/b]+tan[pi/4-1/2cos^(-1)""a/b]=2b/a

    Text Solution

    |

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

    Text Solution

    |

  9. Solve tan^(-1) ((x+1)/(x-1)) + tan^(-1) ((x-1)/x) = tan^(-1)(-7)

    Text Solution

    |

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

    Text Solution

    |

  11. Solve sin^(-1) (1 - x) - 2 sin^(-1) x = (pi)/(2)

    Text Solution

    |

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

    Text Solution

    |

  13. Solve : 2 tan^(-1), (cos x) = tan^(-1), (2 cosec x)

    Text Solution

    |

  14. Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = ta...

    Text Solution

    |

  15. Solve the following equations : tan^(-1) (x+1) +tan^(-1) (x-1) = ...

    Text Solution

    |

  16. Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |