Home
Class 12
MATHS
If sum(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k...

If `sum_(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k^4))=tan^(- 1)(6/7),` then the value of 'n' is equal to

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find sum_(k=1)^ntan^(- 1)(2k)/(2+k^2+k^4)

sum _(k=1)^(n) tan^(-1). 1/(1+k+k^(2)) is equal to

Let f(n)= sum_(k=1)^(n) k^2 ^"(n )C_k)^ 2 then the value of f(5) equals

The sum sum_(k=1)^oocot^(-1)(2k^2) equals

If the sum sum_(n=1)^10 sum_(m=1)^10 tan^(-1) (m/n) = k pi , find the value of k

If x_k = (sectheta)^(1/2^k)+ (tan theta)^(1/(2^k) and y_k = (sectheta)^(1/(2^k))-(tan theta)^(1/2^k) , then value of 3y_n prod_(k=0)^n (x_k) is equal to

If lim_(n to oo) sum_(k=2)^(n)cos^(-1)((1+sqrt((k-1)(k+2)(k+1)k))/(k(k+1)))=(120pi)/(lambda) , find the value of lambda .

If lim_(n to oo) sum_(k=2)^(n)cos^(-1)((1+sqrt((k-1)(k+2)(k+1)k))/(k(k+1)))=(120pi)/(lambda) , find the value of lambda .

If sum_(n=0)^oo2cot^(-1) ((n^2+n-4)/2)=kpi then find the value of k

If (3-tan^(2)""(pi)/(7))/(1-tan^(2)""(pi)/(7))=kcos""(pi)/(7) then the value of k is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...

    Text Solution

    |

  2. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  3. If sum(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k^4))=tan^(- 1)(6/7), then the ...

    Text Solution

    |

  4. A B C D is a quadrilateral. E is the point of intersection of th...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. The range of the function sin^-1(x^2+2 x),x > 0 is

    Text Solution

    |

  7. Find (dy)/(dx), when xa n dy are connected by the following relations ...

    Text Solution

    |

  8. Differentiate the following functions with respect to x (i)x^(2/3)+7...

    Text Solution

    |

  9. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

    Text Solution

    |

  10. Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is {0,1,(...

    Text Solution

    |

  11. int ( 1+ x + sqrt( x+ x^(2)))/(( sqrt(x) + sqrt( 1+x))dx is equal to

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. The angle of elevation of a jet plane from a point A on the grund is 6...

    Text Solution

    |

  14. From the top of a building 60m high the angles of depression of the...

    Text Solution

    |

  15. A man of a cliff observes a boat at an angle of depression of 30^0 whi...

    Text Solution

    |

  16. The point P on the ellipse 4x^2+9y^2=36 is such that the are of the P...

    Text Solution

    |

  17. A straight highway leads to the foot of a tower. A man standing at t...

    Text Solution

    |

  18. A 1.2 m tall girl spots a balloon moving with the wind in a horizonta...

    Text Solution

    |

  19. Two fair dice are rolled together, one of the dice showing 4, then the...

    Text Solution

    |

  20. A round balloon of radius r subtends an angle at the eye of the observ...

    Text Solution

    |