Home
Class 12
MATHS
tan^-1 frac{1}{5} + tan^-1 frac{1}{7} + ...

`tan^-1 frac{1}{5} + tan^-1 frac{1}{7} + tan^-1 frac {1}{3} + tan^-1 frac{1}{8}= frac{pi}{4}`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos

  • MOCK TEST-2

    MODERN PUBLICATION|Exercise EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

2tan^-1 frac{1}{3} + tan^-1 frac{1}{7}= frac {pi}{4}

tan^-1 frac{1}{2} + tan^-1 frac {1}{7} = tan^-1 frac{9}{13}

tan^-1 frac{1}{2} + tan^-1 frac {2}{11} = tan^-1 frac{3}{4}

tan^-1 frac{2}{11} + tan^-1 frac {7}{24} = tan^-1 frac{1}{2}

Prove that : 2 tan^-1 frac{1}{7} + tan^-1 frac{1}{3}=tan^-1 frac{9}{13}

Prove that : 2 tan^-1 frac{1}{5} + tan^-1 frac{1}{8}= tan^-1 frac{4}{7}

Prove that : 2 tan^-1 frac{1}{2} + tan^-1 frac{1}{7}=tan^-1 frac{31}{17}

sin^-1 frac{8}{17}+ sin^-1 frac {3}{5}= tan^-1 frac{77}{36}

Prove that : 2 tan^-1 frac{1}{5} + tan^-1 frac{1}{4}= tan^-1 frac{32}{43}

Prove that : 2 tan^-1 frac{1}{5} + tan^-1 frac{1}{6}=tan^-1 frac{42}{67}

MODERN PUBLICATION-MOCK TEST-1-EXERCISE
  1. Solve the following differential equations x dy + ( y - x^3) dx =0

    Text Solution

    |

  2. Find the value of 'lambda' such that the vectors : 3hati+lambda hatj+5...

    Text Solution

    |

  3. tan^-1 frac{1}{5} + tan^-1 frac{1}{7} + tan^-1 frac {1}{3} + tan^-1 fr...

    Text Solution

    |

  4. Prove that : tan^-1((cosx)/(1+sinx)) = pi/4 - x/2, x in (-pi/2,pi/2)

    Text Solution

    |

  5. Show that if A = [[cos theta, sin theta],[-sin theta, cos theta]], th...

    Text Solution

    |

  6. Using the properties of determinant, show that :|[a^2+1,ab,ac],[ab,b^2...

    Text Solution

    |

  7. The funtion f(x) is defined as follows: f(x) = {:{(x^2+ax+b,0lex<2),...

    Text Solution

    |

  8. Evalute : int(5x+3)/sqrt(x^2+4x+10)dx

    Text Solution

    |

  9. By using the properties of definite integrals, evaluate the integral: ...

    Text Solution

    |

  10. Solve: dy/dx+(2x)/(x^2+1)y=1/(x^2+1)^2, y(0)=0.

    Text Solution

    |

  11. Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+l...

    Text Solution

    |

  12. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  13. A problem in Mathematics is given the three students whose chances of ...

    Text Solution

    |

  14. A problem in Mathematics is given the three students whose chances of ...

    Text Solution

    |

  15. If A and B are subsets of the universal set U, then show that A⊂ A∪ B...

    Text Solution

    |

  16. Is ∗ defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b ...

    Text Solution

    |

  17. If X= {1, 2, 3}, if n represents any member of X, write the following ...

    Text Solution

    |

  18. Find the area of the smaller region bounded by the ellipse x^2/a^2 + y...

    Text Solution

    |

  19. Simplify : [veca-vecb,vecb-vecc,vecc-veca].

    Text Solution

    |

  20. If veca,vecb,vecc are three vectors such that vecaxxvecb=vecc,vecbxxve...

    Text Solution

    |