Home
Class 12
MATHS
tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=?...

`tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=?`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Prove that tan^(- 1)(1/3)+tan^(- 1)(1/7)+tan^(- 1)(1/13)+..........+tan^-1 (1/(n^2+n+1))+......oo =pi/4

Using the principle of mathematical induction to show that tan^(−1)(x/(1+1.2.x^2))+tan^(−1)(x/(1+2.3.x^2))+.....+tan^(−1)(x/(1+n(n+1)x^2)) = tan^(-1)(n+1)x-tan^(-1)x , forall x in N .

If a_(1),a_(2),a_(3),...,a_(n) is an arithmetic progression with common difference d, then evaluate the following expression. tan[tan^(-1)(d/(1+a_(1)a_(2)))+tan^(-1)(d/(1+a_(2)a_(3)))+...+tan^(-1)(d/(1+a_(n-1)*a_(n)))]

Find the sum of the series : (tan^- 1)1/3+(tan^- 1)2/9+....+(tan^- 1)(2^(n-1))/(1+2^(2n-1))+...... oo

Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-l)))^(1//(l-m))*(x^((n+l)/(l-m)))^(1//(m-n)) wrt x is

Evaluate sum_(m=1)^(oo)sum_(n=1)^(oo)(m^(2)n)/(3^(m)(n*3^(m)+m*3^(n))) .

If (a^(n)+b^n)/ (a^(n-1) +b^(n-1)) is the A.M. between a and b, then find the value of n.

If l, m, n denote the side of a pedal triangle, then (l)/(a ^(2))+(m)/(b^(2))+(n)/(c ^(2)) is equal to

(d)/(dx) (tan^(n)x) = ……..

ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the domain of definition the following function: f(x)=log(10)(1-l...

    Text Solution

    |

  2. નીયેના બહુવિકલ્પ પ્રશ્નોના જ​વાબ માટે સાયો વિકલ્પ પસંદ કરો: sin^(-1...

    Text Solution

    |

  3. tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=?

    Text Solution

    |

  4. Find the sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(...

    Text Solution

    |

  5. If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi, show that x^4+y^4+z^4+4x^2y^2z^2=...

    Text Solution

    |

  6. If alpha and beta are the roots of the equation x^2-4x + 1=0(alpha > ...

    Text Solution

    |

  7. Solution set of inequality (cot^-1x)^2-5cot^-1x+6>0 is

    Text Solution

    |

  8. Solve the following inequality: sin^(-1) x > cos^(-1) x

    Text Solution

    |

  9. Find the number of positive integral solution of the equation tan^(-1)...

    Text Solution

    |

  10. Find all values of k for which there is a triangle whose angles have m...

    Text Solution

    |

  11. Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

    Text Solution

    |

  12. Find the set of values of a for which the equation 2cos^-1 x = a+a^2(c...

    Text Solution

    |

  13. The value of cos^(-1)(-1)-sin^(-1)(1) is: a. pi b. pi/2 c. (3pi)/2 d. ...

    Text Solution

    |

  14. The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. If sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2 then the value of x is: (1) ...

    Text Solution

    |

  17. The value of cot(cose c^(-1)5/3+tan^(-1)2/3) is: (1) 6/(17) (2) 3/...

    Text Solution

    |

  18. If x, y, z are in A.P. and tan^(-1)x , tan^(-1)y and t a n^(-1)z a...

    Text Solution

    |

  19. Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3))...

    Text Solution

    |

  20. Prove that costan^(-1)sincot^(-1)x=sqrt((x^2+1)/(x^2+2))

    Text Solution

    |